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Finding the Third Proportional to 131,542 and 284,102

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Solution

The third proportional to 131,542 and 284,102 is: 613,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,542 : 284,102 = 284,102 : x
  2. Step 2: Convert to fraction form
    131,542/284,102 = 284,102/x
  3. Step 3: Cross multiply
    131,542x = 284,102 × 284,102
  4. Step 4: Simplify right side
    131,542x = 80,713,946,404
  5. Step 5: Solve for x
    x = 80,713,946,404/131,542
  6. Step 6: Final answer
    x = 613,598.29

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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.