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Finding the Third Proportional to 87,367 and 205,376

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Solution

The third proportional to 87,367 and 205,376 is: 482,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,367 : 205,376 = 205,376 : x
  2. Step 2: Convert to fraction form
    87,367/205,376 = 205,376/x
  3. Step 3: Cross multiply
    87,367x = 205,376 × 205,376
  4. Step 4: Simplify right side
    87,367x = 42,179,301,376
  5. Step 5: Solve for x
    x = 42,179,301,376/87,367
  6. Step 6: Final answer
    x = 482,782.99

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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.