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Finding the Third Proportional to 131,625 and 284,256

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Solution

The third proportional to 131,625 and 284,256 is: 613,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,625 : 284,256 = 284,256 : x
  2. Step 2: Convert to fraction form
    131,625/284,256 = 284,256/x
  3. Step 3: Cross multiply
    131,625x = 284,256 × 284,256
  4. Step 4: Simplify right side
    131,625x = 80,801,473,536
  5. Step 5: Solve for x
    x = 80,801,473,536/131,625
  6. Step 6: Final answer
    x = 613,876.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.