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Finding the Third Proportional to 151,920 and 332,432

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Solution

The third proportional to 151,920 and 332,432 is: 727,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,920 : 332,432 = 332,432 : x
  2. Step 2: Convert to fraction form
    151,920/332,432 = 332,432/x
  3. Step 3: Cross multiply
    151,920x = 332,432 × 332,432
  4. Step 4: Simplify right side
    151,920x = 110,511,034,624
  5. Step 5: Solve for x
    x = 110,511,034,624/151,920
  6. Step 6: Final answer
    x = 727,429.14

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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.