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Finding the Third Proportional to 131,344 and 284,704

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Solution

The third proportional to 131,344 and 284,704 is: 617,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,344 : 284,704 = 284,704 : x
  2. Step 2: Convert to fraction form
    131,344/284,704 = 284,704/x
  3. Step 3: Cross multiply
    131,344x = 284,704 × 284,704
  4. Step 4: Simplify right side
    131,344x = 81,056,367,616
  5. Step 5: Solve for x
    x = 81,056,367,616/131,344
  6. Step 6: Final answer
    x = 617,130.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.