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Finding the Third Proportional to 204,913.13 and 320,761.69

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Solution

The third proportional to 204,913.13 and 320,761.69 is: 502,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,913.13 : 320,761.69 = 320,761.69 : x
  2. Step 2: Convert to fraction form
    204,913.13/320,761.69 = 320,761.69/x
  3. Step 3: Cross multiply
    204,913.13x = 320,761.69 × 320,761.69
  4. Step 4: Simplify right side
    204,913.13x = 102,888,060,167.85
  5. Step 5: Solve for x
    x = 102,888,060,167.85/204,913.13
  6. Step 6: Final answer
    x = 502,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.