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Finding the Third Proportional to 225,865.13 and 309,732.75

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Solution

The third proportional to 225,865.13 and 309,732.75 is: 424,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.13 : 309,732.75 = 309,732.75 : x
  2. Step 2: Convert to fraction form
    225,865.13/309,732.75 = 309,732.75/x
  3. Step 3: Cross multiply
    225,865.13x = 309,732.75 × 309,732.75
  4. Step 4: Simplify right side
    225,865.13x = 95,934,376,422.56
  5. Step 5: Solve for x
    x = 95,934,376,422.56/225,865.13
  6. Step 6: Final answer
    x = 424,741.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.