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Finding the Third Proportional to 116,631 and 251,649

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Solution

The third proportional to 116,631 and 251,649 is: 542,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,631 : 251,649 = 251,649 : x
  2. Step 2: Convert to fraction form
    116,631/251,649 = 251,649/x
  3. Step 3: Cross multiply
    116,631x = 251,649 × 251,649
  4. Step 4: Simplify right side
    116,631x = 63,327,219,201
  5. Step 5: Solve for x
    x = 63,327,219,201/116,631
  6. Step 6: Final answer
    x = 542,970.73

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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.