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Finding the Third Proportional to 101.74 and 232.59

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Solution

The third proportional to 101.74 and 232.59 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 232.59 = 232.59 : x
  2. Step 2: Convert to fraction form
    101.74/232.59 = 232.59/x
  3. Step 3: Cross multiply
    101.74x = 232.59 × 232.59
  4. Step 4: Simplify right side
    101.74x = 54,099.85
  5. Step 5: Solve for x
    x = 54,099.85/101.74
  6. Step 6: Final answer
    x = 531.73

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.