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Finding the Third Proportional to 204,211.13 and 299,960.72

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Solution

The third proportional to 204,211.13 and 299,960.72 is: 440,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 299,960.72 = 299,960.72 : x
  2. Step 2: Convert to fraction form
    204,211.13/299,960.72 = 299,960.72/x
  3. Step 3: Cross multiply
    204,211.13x = 299,960.72 × 299,960.72
  4. Step 4: Simplify right side
    204,211.13x = 89,976,432,793.02
  5. Step 5: Solve for x
    x = 89,976,432,793.02/204,211.13
  6. Step 6: Final answer
    x = 440,604.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.