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Finding the Third Proportional to 146,359 and 220,691

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Solution

The third proportional to 146,359 and 220,691 is: 332,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,359 : 220,691 = 220,691 : x
  2. Step 2: Convert to fraction form
    146,359/220,691 = 220,691/x
  3. Step 3: Cross multiply
    146,359x = 220,691 × 220,691
  4. Step 4: Simplify right side
    146,359x = 48,704,517,481
  5. Step 5: Solve for x
    x = 48,704,517,481/146,359
  6. Step 6: Final answer
    x = 332,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.