Find the missing number in the following series:
$$110,132,156,\_\_\_\_,210,240$$

Let's find the differences between consecutive terms in the series:
* $132-110=22$
* $156-132=24$

The difference increases by $2$ at each step ($22,24,26,28,30$).
Following this pattern, the next difference should be $26$:

$$\text{Missing number}=156+26=182$$

Let's verify with the remaining terms:

* $182+28=210$ (Matches)
* $210+30=240$ (Matches)

Alternatively, the terms can be written as $n(n+1)$ or consecutive products:

* $10\times 11=110$
* $11\times 12=132$
* $12\times 13=156$
* $13\times 14=182$
* $14\times 15=210$
* $15\times 16=240$

Both methods yield the same missing number, $182$.