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Finding the Third Proportional to 120,016 and 261,192

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Solution

The third proportional to 120,016 and 261,192 is: 568,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,016 : 261,192 = 261,192 : x
  2. Step 2: Convert to fraction form
    120,016/261,192 = 261,192/x
  3. Step 3: Cross multiply
    120,016x = 261,192 × 261,192
  4. Step 4: Simplify right side
    120,016x = 68,221,260,864
  5. Step 5: Solve for x
    x = 68,221,260,864/120,016
  6. Step 6: Final answer
    x = 568,434.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.