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Finding the Third Proportional to 225,757.13 and 349,938.56

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Solution

The third proportional to 225,757.13 and 349,938.56 is: 542,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,757.13 : 349,938.56 = 349,938.56 : x
  2. Step 2: Convert to fraction form
    225,757.13/349,938.56 = 349,938.56/x
  3. Step 3: Cross multiply
    225,757.13x = 349,938.56 × 349,938.56
  4. Step 4: Simplify right side
    225,757.13x = 122,456,997,524.57
  5. Step 5: Solve for x
    x = 122,456,997,524.57/225,757.13
  6. Step 6: Final answer
    x = 542,428.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.