"for that exact reason" is correct and can be used in written English.
You can use it to refer to the reason you just mentioned. For example: I can't go to the party tonight - for that exact reason I need to study for my exam tomorrow.
"Yeah, I have 10 friends for that exact reason," he jokes.
But Raymond Carver, I think he inspired a whole lot of people for that exact reason.
But it may be for that exact reason that Campbell has been able to maintain its lead.
Other firms to do so include Nexmo, and Egnyte, firms that we have covered extensively for that exact reason.
In fact, the sites I mentioned above have very strong B2B offerings for that exact reason, many organizations are realizing that it's far better to enable and empower employees to take education and training into their own hands instead of telling them how it should be done.
It's ridiculous and so damn hilarious for that exact reason.
For instance, that exact reason is given for why the petition "TOUGHER SENTENCING FOR KNIFE CRIME! (before more young people lose their lives)" was rejected.
Yes, Hemp-derived CBD has no THC and is less likely to have side effects but some people claim that, for this exact reason, it has less efficacy.
In the end, I realized that I adored my friend's parents for the exact reason that I would not hear from them: because they loved their daughter so fiercely, so actively, so unswervingly.
It is for this exact reason that no industry has more commoditized itself than banking: Banks came to view spending time with customers as costing them money.
It's for this exact reason that the left can no longer afford to squander time and energy engaging the childish arguments of paid provocateurs.
