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Finding the Third Proportional to 151,767 and 332,542

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Solution

The third proportional to 151,767 and 332,542 is: 728,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,767 : 332,542 = 332,542 : x
  2. Step 2: Convert to fraction form
    151,767/332,542 = 332,542/x
  3. Step 3: Cross multiply
    151,767x = 332,542 × 332,542
  4. Step 4: Simplify right side
    151,767x = 110,584,181,764
  5. Step 5: Solve for x
    x = 110,584,181,764/151,767
  6. Step 6: Final answer
    x = 728,644.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.