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Finding the Third Proportional to 107,631 and 236,649

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Solution

The third proportional to 107,631 and 236,649 is: 520,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,631 : 236,649 = 236,649 : x
  2. Step 2: Convert to fraction form
    107,631/236,649 = 236,649/x
  3. Step 3: Cross multiply
    107,631x = 236,649 × 236,649
  4. Step 4: Simplify right side
    107,631x = 56,002,749,201
  5. Step 5: Solve for x
    x = 56,002,749,201/107,631
  6. Step 6: Final answer
    x = 520,321.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.