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Finding the Third Proportional to 226,845 and 338,067

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Solution

The third proportional to 226,845 and 338,067 is: 503,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,845 : 338,067 = 338,067 : x
  2. Step 2: Convert to fraction form
    226,845/338,067 = 338,067/x
  3. Step 3: Cross multiply
    226,845x = 338,067 × 338,067
  4. Step 4: Simplify right side
    226,845x = 114,289,296,489
  5. Step 5: Solve for x
    x = 114,289,296,489/226,845
  6. Step 6: Final answer
    x = 503,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.