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Finding the Third Proportional to 109,651 and 227,921

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Solution

The third proportional to 109,651 and 227,921 is: 473,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651 : 227,921 = 227,921 : x
  2. Step 2: Convert to fraction form
    109,651/227,921 = 227,921/x
  3. Step 3: Cross multiply
    109,651x = 227,921 × 227,921
  4. Step 4: Simplify right side
    109,651x = 51,947,982,241
  5. Step 5: Solve for x
    x = 51,947,982,241/109,651
  6. Step 6: Final answer
    x = 473,757.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.