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Finding the Third Proportional to 225,791 and 349,802

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Solution

The third proportional to 225,791 and 349,802 is: 541,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,791 : 349,802 = 349,802 : x
  2. Step 2: Convert to fraction form
    225,791/349,802 = 349,802/x
  3. Step 3: Cross multiply
    225,791x = 349,802 × 349,802
  4. Step 4: Simplify right side
    225,791x = 122,361,439,204
  5. Step 5: Solve for x
    x = 122,361,439,204/225,791
  6. Step 6: Final answer
    x = 541,923.46

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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.