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Finding the Third Proportional to 71,631 and 156,384

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Solution

The third proportional to 71,631 and 156,384 is: 341,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,631 : 156,384 = 156,384 : x
  2. Step 2: Convert to fraction form
    71,631/156,384 = 156,384/x
  3. Step 3: Cross multiply
    71,631x = 156,384 × 156,384
  4. Step 4: Simplify right side
    71,631x = 24,455,955,456
  5. Step 5: Solve for x
    x = 24,455,955,456/71,631
  6. Step 6: Final answer
    x = 341,415.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.