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Finding the Third Proportional to 131,702 and 284,464

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Solution

The third proportional to 131,702 and 284,464 is: 614,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,702 : 284,464 = 284,464 : x
  2. Step 2: Convert to fraction form
    131,702/284,464 = 284,464/x
  3. Step 3: Cross multiply
    131,702x = 284,464 × 284,464
  4. Step 4: Simplify right side
    131,702x = 80,919,767,296
  5. Step 5: Solve for x
    x = 80,919,767,296/131,702
  6. Step 6: Final answer
    x = 614,415.63

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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.