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Finding the Third Proportional to 226,103 and 349,941

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Solution

The third proportional to 226,103 and 349,941 is: 541,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,103 : 349,941 = 349,941 : x
  2. Step 2: Convert to fraction form
    226,103/349,941 = 349,941/x
  3. Step 3: Cross multiply
    226,103x = 349,941 × 349,941
  4. Step 4: Simplify right side
    226,103x = 122,458,703,481
  5. Step 5: Solve for x
    x = 122,458,703,481/226,103
  6. Step 6: Final answer
    x = 541,605.83

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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.