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Finding the Third Proportional to 206,671.50 and 220,203.56

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Solution

The third proportional to 206,671.50 and 220,203.56 is: 234,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671.50 : 220,203.56 = 220,203.56 : x
  2. Step 2: Convert to fraction form
    206,671.50/220,203.56 = 220,203.56/x
  3. Step 3: Cross multiply
    206,671.50x = 220,203.56 × 220,203.56
  4. Step 4: Simplify right side
    206,671.50x = 48,489,608,937.69
  5. Step 5: Solve for x
    x = 48,489,608,937.69/206,671.50
  6. Step 6: Final answer
    x = 234,621.65

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.