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Finding the Third Proportional to 226,091 and 349,923

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Solution

The third proportional to 226,091 and 349,923 is: 541,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,091 : 349,923 = 349,923 : x
  2. Step 2: Convert to fraction form
    226,091/349,923 = 349,923/x
  3. Step 3: Cross multiply
    226,091x = 349,923 × 349,923
  4. Step 4: Simplify right side
    226,091x = 122,446,105,929
  5. Step 5: Solve for x
    x = 122,446,105,929/226,091
  6. Step 6: Final answer
    x = 541,578.86

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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.