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Finding the Third Proportional to 87,327 and 190,529

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Solution

The third proportional to 87,327 and 190,529 is: 415,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,327 : 190,529 = 190,529 : x
  2. Step 2: Convert to fraction form
    87,327/190,529 = 190,529/x
  3. Step 3: Cross multiply
    87,327x = 190,529 × 190,529
  4. Step 4: Simplify right side
    87,327x = 36,301,299,841
  5. Step 5: Solve for x
    x = 36,301,299,841/87,327
  6. Step 6: Final answer
    x = 415,693.88

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Why These Related Problems?

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