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Finding the Third Proportional to 106,262 and 218,755

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Solution

The third proportional to 106,262 and 218,755 is: 450,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,262 : 218,755 = 218,755 : x
  2. Step 2: Convert to fraction form
    106,262/218,755 = 218,755/x
  3. Step 3: Cross multiply
    106,262x = 218,755 × 218,755
  4. Step 4: Simplify right side
    106,262x = 47,853,750,025
  5. Step 5: Solve for x
    x = 47,853,750,025/106,262
  6. Step 6: Final answer
    x = 450,337.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.