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Finding the Third Proportional to 140,755 and 211,317

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Solution

The third proportional to 140,755 and 211,317 is: 317,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,755 : 211,317 = 211,317 : x
  2. Step 2: Convert to fraction form
    140,755/211,317 = 211,317/x
  3. Step 3: Cross multiply
    140,755x = 211,317 × 211,317
  4. Step 4: Simplify right side
    140,755x = 44,654,874,489
  5. Step 5: Solve for x
    x = 44,654,874,489/140,755
  6. Step 6: Final answer
    x = 317,252.49

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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.