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Finding the Third Proportional to 87,482 and 183,280

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Solution

The third proportional to 87,482 and 183,280 is: 383,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,482 : 183,280 = 183,280 : x
  2. Step 2: Convert to fraction form
    87,482/183,280 = 183,280/x
  3. Step 3: Cross multiply
    87,482x = 183,280 × 183,280
  4. Step 4: Simplify right side
    87,482x = 33,591,558,400
  5. Step 5: Solve for x
    x = 33,591,558,400/87,482
  6. Step 6: Final answer
    x = 383,982.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.