To determine how many packages the post office can mail in 7 hours, we first need to find the rate of mailing packages per hour.
The post office can mail 92 packages in 2 hours, so the rate per hour is:
\[ \text{Rate} = \frac{92 \text{ packages}}{2 \text{ hours}} = 46 \text{ packages per hour} \]
Now, to find out how many packages can be mailed in 7 hours, we multiply the rate by the number of hours:
\[ \text{Packages in 7 hours} = 46 \text{ packages/hour} \times 7 \text{ hours} = 322 \text{ packages} \]
Therefore, the post office can mail 322 packages in 7 hours.