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Finding the Third Proportional to 160,755 and 236,691

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Solution

The third proportional to 160,755 and 236,691 is: 348,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,755 : 236,691 = 236,691 : x
  2. Step 2: Convert to fraction form
    160,755/236,691 = 236,691/x
  3. Step 3: Cross multiply
    160,755x = 236,691 × 236,691
  4. Step 4: Simplify right side
    160,755x = 56,022,629,481
  5. Step 5: Solve for x
    x = 56,022,629,481/160,755
  6. Step 6: Final answer
    x = 348,496.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.