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Finding the Third Proportional to 107,883 and 229,374

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Solution

The third proportional to 107,883 and 229,374 is: 487,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,883 : 229,374 = 229,374 : x
  2. Step 2: Convert to fraction form
    107,883/229,374 = 229,374/x
  3. Step 3: Cross multiply
    107,883x = 229,374 × 229,374
  4. Step 4: Simplify right side
    107,883x = 52,612,431,876
  5. Step 5: Solve for x
    x = 52,612,431,876/107,883
  6. Step 6: Final answer
    x = 487,680.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.