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Finding the Third Proportional to 156,691 and 353,957

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Solution

The third proportional to 156,691 and 353,957 is: 799,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,691 : 353,957 = 353,957 : x
  2. Step 2: Convert to fraction form
    156,691/353,957 = 353,957/x
  3. Step 3: Cross multiply
    156,691x = 353,957 × 353,957
  4. Step 4: Simplify right side
    156,691x = 125,285,557,849
  5. Step 5: Solve for x
    x = 125,285,557,849/156,691
  6. Step 6: Final answer
    x = 799,570.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.