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Finding the Third Proportional to 131,412 and 283,934

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Solution

The third proportional to 131,412 and 283,934 is: 613,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,412 : 283,934 = 283,934 : x
  2. Step 2: Convert to fraction form
    131,412/283,934 = 283,934/x
  3. Step 3: Cross multiply
    131,412x = 283,934 × 283,934
  4. Step 4: Simplify right side
    131,412x = 80,618,516,356
  5. Step 5: Solve for x
    x = 80,618,516,356/131,412
  6. Step 6: Final answer
    x = 613,479.11

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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.