Divide 182 kg in the ratio of 2:3:8.

To divide 182 kg in the ratio of 2:3:8, follow these steps:

1. Determine the Total Parts:
- Add the parts of the ratio together.
- [tex]$ 2 + 3 + 8 = 13 $[/tex].

2. Calculate Each Share:
- You need to determine how much each part is worth by taking a fraction of the total weight (182 kg) based on the given ratio parts.

3. Calculate the Weight for Each Ratio Part:
- First Part: The first part of the ratio is 2. Calculate how much weight corresponds to this part:
[tex]\[
\text{Weight for first part} = 182 \times \frac{2}{13} = 28 \, \text{kg}
\][/tex]

- Second Part: The second part of the ratio is 3. Calculate how much weight corresponds to this part:
[tex]\[
\text{Weight for second part} = 182 \times \frac{3}{13} = 42 \, \text{kg}
\][/tex]

- Third Part: The third part of the ratio is 8. Calculate how much weight corresponds to this part:
[tex]\[
\text{Weight for third part} = 182 \times \frac{8}{13} = 112 \, \text{kg}
\][/tex]

4. Final Distribution:
- The weights divided in the ratio 2:3:8 are 28 kg, 42 kg, and 112 kg respectively.

Therefore, the 182 kg is divided into parts weighing 28 kg, 42 kg, and 112 kg according to the ratio 2:3:8.