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Finding the Third Proportional to 226,096 and 349,930

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Solution

The third proportional to 226,096 and 349,930 is: 541,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,096 : 349,930 = 349,930 : x
  2. Step 2: Convert to fraction form
    226,096/349,930 = 349,930/x
  3. Step 3: Cross multiply
    226,096x = 349,930 × 349,930
  4. Step 4: Simplify right side
    226,096x = 122,451,004,900
  5. Step 5: Solve for x
    x = 122,451,004,900/226,096
  6. Step 6: Final answer
    x = 541,588.55

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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.