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Finding the Third Proportional to 204,211.13 and 422,992.13

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Solution

The third proportional to 204,211.13 and 422,992.13 is: 876,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 422,992.13 = 422,992.13 : x
  2. Step 2: Convert to fraction form
    204,211.13/422,992.13 = 422,992.13/x
  3. Step 3: Cross multiply
    204,211.13x = 422,992.13 × 422,992.13
  4. Step 4: Simplify right side
    204,211.13x = 178,922,337,812.02
  5. Step 5: Solve for x
    x = 178,922,337,812.02/204,211.13
  6. Step 6: Final answer
    x = 876,163.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.