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Finding the Third Proportional to 225,865.13 and 331,257.38

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Solution

The third proportional to 225,865.13 and 331,257.38 is: 485,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.13 : 331,257.38 = 331,257.38 : x
  2. Step 2: Convert to fraction form
    225,865.13/331,257.38 = 331,257.38/x
  3. Step 3: Cross multiply
    225,865.13x = 331,257.38 × 331,257.38
  4. Step 4: Simplify right side
    225,865.13x = 109,731,448,491.89
  5. Step 5: Solve for x
    x = 109,731,448,491.89/225,865.13
  6. Step 6: Final answer
    x = 485,827.32

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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.