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Finding the Third Proportional to 159,532 and 232,374

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Solution

The third proportional to 159,532 and 232,374 is: 338,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,532 : 232,374 = 232,374 : x
  2. Step 2: Convert to fraction form
    159,532/232,374 = 232,374/x
  3. Step 3: Cross multiply
    159,532x = 232,374 × 232,374
  4. Step 4: Simplify right side
    159,532x = 53,997,675,876
  5. Step 5: Solve for x
    x = 53,997,675,876/159,532
  6. Step 6: Final answer
    x = 338,475.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.