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Finding the Third Proportional to 131,408 and 283,927

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Solution

The third proportional to 131,408 and 283,927 is: 613,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408 : 283,927 = 283,927 : x
  2. Step 2: Convert to fraction form
    131,408/283,927 = 283,927/x
  3. Step 3: Cross multiply
    131,408x = 283,927 × 283,927
  4. Step 4: Simplify right side
    131,408x = 80,614,541,329
  5. Step 5: Solve for x
    x = 80,614,541,329/131,408
  6. Step 6: Final answer
    x = 613,467.53

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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.