follow through vs go through with

follow through and go through with both are verbs.

Word	Noun	Adjective	Verb	Adverb
follow through	No	No	Yes	No
go through with	No	No	Yes	No

As verbs, follow through and go through with are synonyms defined as:

follow through and go through with: pursue to a conclusion or bring to a successful issue

Other synonyms of follow through include carry out, follow out, follow up, implement, put through.

follow through (verb)	go through with (verb)
pursue to a conclusion or bring to a successful issue	pursue to a conclusion or bring to a successful issue
carry a stroke to natural completion after hitting or releasing a ball