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Finding the Third Proportional to 161,347 and 354,542

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Solution

The third proportional to 161,347 and 354,542 is: 779,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,347 : 354,542 = 354,542 : x
  2. Step 2: Convert to fraction form
    161,347/354,542 = 354,542/x
  3. Step 3: Cross multiply
    161,347x = 354,542 × 354,542
  4. Step 4: Simplify right side
    161,347x = 125,700,029,764
  5. Step 5: Solve for x
    x = 125,700,029,764/161,347
  6. Step 6: Final answer
    x = 779,066.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.