The Preposition “随着”
In Chinese, “随着” (suízhe) normally comes before a phrase or clause that expresses a change.
It shows that a change in one thing creates the conditions for another to happen.
How it is translated
Depending on the context:
with … / along with …
as …
as … increases
as … improves
Basic structure
随着 + change，result
Meaning
As one thing changes, another also happens or changes.
随着中国的发展，越来越多的外国学生来到中国的大学学习。
As China develops, more and more foreign students come to study at Chinese universities.
随着 + 中国的发展，
with China’s development / as China develops
越来越多的外国学生来到中国的大学学习。
more and more foreign students come to study at Chinese universities
随着 — with … / as …
中国的发展 — China’s development
越来越多 — more and more
外国学生 — foreign students
来到中国的大学学习 — come to study at Chinese universities
Here China’s development is the first change, and the growing number of foreign students is the result tied to it.
随着中文水平的提高，我现在能看懂中文报纸了。
As my Chinese level has improved, I can now read Chinese newspapers with understanding.
随着 + 中文水平的提高，
with the improvement of my Chinese level
我现在能看懂中文报纸了。
I can now read Chinese newspapers with understanding
中文水平 — level of Chinese
提高 — rise / improve
现在 — now
能看懂 — be able to read and understand
中文报纸 — Chinese newspaper
随着小区的环境越来越好，来这里买房子的人也变多了。
As the environment of the residential area keeps getting better, more people are coming here to buy homes.
随着 + 小区的环境越来越好，
as the residential area’s environment keeps getting better
来这里买房子的人也变多了。
the people coming here to buy homes have also grown in number
小区的环境 — the residential area’s environment
越来越好 — get better and better
来这里买房子的人 — the people coming here to buy homes
也 — also
变多了 — have become more numerous
Rule in brief
随着 + change in A，result / change in B
That is: as A changes, B changes too.