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Finding the Third Proportional to 102,718 and 220,766

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Solution

The third proportional to 102,718 and 220,766 is: 474,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,718 : 220,766 = 220,766 : x
  2. Step 2: Convert to fraction form
    102,718/220,766 = 220,766/x
  3. Step 3: Cross multiply
    102,718x = 220,766 × 220,766
  4. Step 4: Simplify right side
    102,718x = 48,737,626,756
  5. Step 5: Solve for x
    x = 48,737,626,756/102,718
  6. Step 6: Final answer
    x = 474,479.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.