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Finding the Third Proportional to 103,693 and 279,327

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Solution

The third proportional to 103,693 and 279,327 is: 752,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 279,327 = 279,327 : x
  2. Step 2: Convert to fraction form
    103,693/279,327 = 279,327/x
  3. Step 3: Cross multiply
    103,693x = 279,327 × 279,327
  4. Step 4: Simplify right side
    103,693x = 78,023,572,929
  5. Step 5: Solve for x
    x = 78,023,572,929/103,693
  6. Step 6: Final answer
    x = 752,447.83

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.