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Finding the Third Proportional to 103,983 and 227,757

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Solution

The third proportional to 103,983 and 227,757 is: 498,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983 : 227,757 = 227,757 : x
  2. Step 2: Convert to fraction form
    103,983/227,757 = 227,757/x
  3. Step 3: Cross multiply
    103,983x = 227,757 × 227,757
  4. Step 4: Simplify right side
    103,983x = 51,873,251,049
  5. Step 5: Solve for x
    x = 51,873,251,049/103,983
  6. Step 6: Final answer
    x = 498,862.80

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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.