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Finding the Third Proportional to 87,354 and 205,344

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Solution

The third proportional to 87,354 and 205,344 is: 482,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,354 : 205,344 = 205,344 : x
  2. Step 2: Convert to fraction form
    87,354/205,344 = 205,344/x
  3. Step 3: Cross multiply
    87,354x = 205,344 × 205,344
  4. Step 4: Simplify right side
    87,354x = 42,166,158,336
  5. Step 5: Solve for x
    x = 42,166,158,336/87,354
  6. Step 6: Final answer
    x = 482,704.38

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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.