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Finding the Third Proportional to 206,770.22 and 454,318.88

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Solution

The third proportional to 206,770.22 and 454,318.88 is: 998,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.22 : 454,318.88 = 454,318.88 : x
  2. Step 2: Convert to fraction form
    206,770.22/454,318.88 = 454,318.88/x
  3. Step 3: Cross multiply
    206,770.22x = 454,318.88 × 454,318.88
  4. Step 4: Simplify right side
    206,770.22x = 206,405,640,181.27
  5. Step 5: Solve for x
    x = 206,405,640,181.27/206,770.22
  6. Step 6: Final answer
    x = 998,236.79

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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.