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Finding the Third Proportional to 109,917 and 234,063

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Solution

The third proportional to 109,917 and 234,063 is: 498,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,917 : 234,063 = 234,063 : x
  2. Step 2: Convert to fraction form
    109,917/234,063 = 234,063/x
  3. Step 3: Cross multiply
    109,917x = 234,063 × 234,063
  4. Step 4: Simplify right side
    109,917x = 54,785,487,969
  5. Step 5: Solve for x
    x = 54,785,487,969/109,917
  6. Step 6: Final answer
    x = 498,425.98

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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.