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Finding the Third Proportional to 107,683 and 220,734

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Solution

The third proportional to 107,683 and 220,734 is: 452,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,683 : 220,734 = 220,734 : x
  2. Step 2: Convert to fraction form
    107,683/220,734 = 220,734/x
  3. Step 3: Cross multiply
    107,683x = 220,734 × 220,734
  4. Step 4: Simplify right side
    107,683x = 48,723,498,756
  5. Step 5: Solve for x
    x = 48,723,498,756/107,683
  6. Step 6: Final answer
    x = 452,471.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.