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Finding the Third Proportional to 87,365 and 205,371

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Solution

The third proportional to 87,365 and 205,371 is: 482,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,365 : 205,371 = 205,371 : x
  2. Step 2: Convert to fraction form
    87,365/205,371 = 205,371/x
  3. Step 3: Cross multiply
    87,365x = 205,371 × 205,371
  4. Step 4: Simplify right side
    87,365x = 42,177,247,641
  5. Step 5: Solve for x
    x = 42,177,247,641/87,365
  6. Step 6: Final answer
    x = 482,770.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.