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Finding the Third Proportional to 103,874 and 227,404

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Solution

The third proportional to 103,874 and 227,404 is: 497,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,874 : 227,404 = 227,404 : x
  2. Step 2: Convert to fraction form
    103,874/227,404 = 227,404/x
  3. Step 3: Cross multiply
    103,874x = 227,404 × 227,404
  4. Step 4: Simplify right side
    103,874x = 51,712,579,216
  5. Step 5: Solve for x
    x = 51,712,579,216/103,874
  6. Step 6: Final answer
    x = 497,839.49

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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.