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Finding the Third Proportional to 111,408 and 226,704

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Solution

The third proportional to 111,408 and 226,704 is: 461,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408 : 226,704 = 226,704 : x
  2. Step 2: Convert to fraction form
    111,408/226,704 = 226,704/x
  3. Step 3: Cross multiply
    111,408x = 226,704 × 226,704
  4. Step 4: Simplify right side
    111,408x = 51,394,703,616
  5. Step 5: Solve for x
    x = 51,394,703,616/111,408
  6. Step 6: Final answer
    x = 461,319.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.