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Finding the Third Proportional to 131,743 and 283,468

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Solution

The third proportional to 131,743 and 283,468 is: 609,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,743 : 283,468 = 283,468 : x
  2. Step 2: Convert to fraction form
    131,743/283,468 = 283,468/x
  3. Step 3: Cross multiply
    131,743x = 283,468 × 283,468
  4. Step 4: Simplify right side
    131,743x = 80,354,107,024
  5. Step 5: Solve for x
    x = 80,354,107,024/131,743
  6. Step 6: Final answer
    x = 609,930.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.