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Finding the Third Proportional to 101,409 and 226,110

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Solution

The third proportional to 101,409 and 226,110 is: 504,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,409 : 226,110 = 226,110 : x
  2. Step 2: Convert to fraction form
    101,409/226,110 = 226,110/x
  3. Step 3: Cross multiply
    101,409x = 226,110 × 226,110
  4. Step 4: Simplify right side
    101,409x = 51,125,732,100
  5. Step 5: Solve for x
    x = 51,125,732,100/101,409
  6. Step 6: Final answer
    x = 504,153.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.