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Finding the Third Proportional to 204,287 and 337,616

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Solution

The third proportional to 204,287 and 337,616 is: 557,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287 : 337,616 = 337,616 : x
  2. Step 2: Convert to fraction form
    204,287/337,616 = 337,616/x
  3. Step 3: Cross multiply
    204,287x = 337,616 × 337,616
  4. Step 4: Simplify right side
    204,287x = 113,984,563,456
  5. Step 5: Solve for x
    x = 113,984,563,456/204,287
  6. Step 6: Final answer
    x = 557,962.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.