To solve this problem, we need to follow these steps:
To increase 360 by 25%, we calculate: \[ \text{Increased Number} = 360 \times \left(1 + \frac{25}{100}\right) = 360 \times 1.25 = 450 \]
Next, we decrease the result by 50%: \[ \text{Final Number} = 450 \times \left(1 - \frac{50}{100}\right) = 450 \times 0.50 = 225 \]
The final number is \\(\boxed{225}\\).
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