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Finding the Third Proportional to 105,327 and 227,511

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Solution

The third proportional to 105,327 and 227,511 is: 491,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,327 : 227,511 = 227,511 : x
  2. Step 2: Convert to fraction form
    105,327/227,511 = 227,511/x
  3. Step 3: Cross multiply
    105,327x = 227,511 × 227,511
  4. Step 4: Simplify right side
    105,327x = 51,761,255,121
  5. Step 5: Solve for x
    x = 51,761,255,121/105,327
  6. Step 6: Final answer
    x = 491,433.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.