If you loaded your data into the Local Government Information Model, there is already a relationship class between the Polling Places and Voting Precincts feature classes.
I think I may have figured it out. Our PrecinctPollingPlace table is empty! That's the table that links the two layers together, right?
Now...how do I add data to this table...hmm....
I believe you are using an old Local Government Information model. This table does not exist in the latest one:
Here is a look at the data dictionary, and you can see that this table is not there:
Is there any documentation that would help endusers to know that they do not have the most current version of the LGIM? I could see this being a problem if this model is constantly being updated as the model covers so many different datasets.