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Finding the Third Proportional to 103,741 and 227,569

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Solution

The third proportional to 103,741 and 227,569 is: 499,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,741 : 227,569 = 227,569 : x
  2. Step 2: Convert to fraction form
    103,741/227,569 = 227,569/x
  3. Step 3: Cross multiply
    103,741x = 227,569 × 227,569
  4. Step 4: Simplify right side
    103,741x = 51,787,649,761
  5. Step 5: Solve for x
    x = 51,787,649,761/103,741
  6. Step 6: Final answer
    x = 499,201.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.