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Finding the Third Proportional to 204,211.13 and 297,280.13

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Solution

The third proportional to 204,211.13 and 297,280.13 is: 432,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 297,280.13 = 297,280.13 : x
  2. Step 2: Convert to fraction form
    204,211.13/297,280.13 = 297,280.13/x
  3. Step 3: Cross multiply
    204,211.13x = 297,280.13 × 297,280.13
  4. Step 4: Simplify right side
    204,211.13x = 88,375,472,720.02
  5. Step 5: Solve for x
    x = 88,375,472,720.02/204,211.13
  6. Step 6: Final answer
    x = 432,765.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.