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Finding the Third Proportional to 225,817 and 349,849

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Solution

The third proportional to 225,817 and 349,849 is: 542,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,817 : 349,849 = 349,849 : x
  2. Step 2: Convert to fraction form
    225,817/349,849 = 349,849/x
  3. Step 3: Cross multiply
    225,817x = 349,849 × 349,849
  4. Step 4: Simplify right side
    225,817x = 122,394,322,801
  5. Step 5: Solve for x
    x = 122,394,322,801/225,817
  6. Step 6: Final answer
    x = 542,006.68

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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.