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Finding the Third Proportional to 146,691 and 220,361

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Solution

The third proportional to 146,691 and 220,361 is: 331,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691 : 220,361 = 220,361 : x
  2. Step 2: Convert to fraction form
    146,691/220,361 = 220,361/x
  3. Step 3: Cross multiply
    146,691x = 220,361 × 220,361
  4. Step 4: Simplify right side
    146,691x = 48,558,970,321
  5. Step 5: Solve for x
    x = 48,558,970,321/146,691
  6. Step 6: Final answer
    x = 331,028.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.