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Finding the Third Proportional to 96.56 and 232.69

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Solution

The third proportional to 96.56 and 232.69 is: 560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 232.69 = 232.69 : x
  2. Step 2: Convert to fraction form
    96.56/232.69 = 232.69/x
  3. Step 3: Cross multiply
    96.56x = 232.69 × 232.69
  4. Step 4: Simplify right side
    96.56x = 54,143.47
  5. Step 5: Solve for x
    x = 54,143.47/96.56
  6. Step 6: Final answer
    x = 560.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.