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Finding the Third Proportional to 232.56 and 361.65

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Solution

The third proportional to 232.56 and 361.65 is: 562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 361.65 = 361.65 : x
  2. Step 2: Convert to fraction form
    232.56/361.65 = 361.65/x
  3. Step 3: Cross multiply
    232.56x = 361.65 × 361.65
  4. Step 4: Simplify right side
    232.56x = 130,792.42
  5. Step 5: Solve for x
    x = 130,792.42/232.56
  6. Step 6: Final answer
    x = 562.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.