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Finding the Third Proportional to 116,867 and 251,192

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Solution

The third proportional to 116,867 and 251,192 is: 539,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,867 : 251,192 = 251,192 : x
  2. Step 2: Convert to fraction form
    116,867/251,192 = 251,192/x
  3. Step 3: Cross multiply
    116,867x = 251,192 × 251,192
  4. Step 4: Simplify right side
    116,867x = 63,097,420,864
  5. Step 5: Solve for x
    x = 63,097,420,864/116,867
  6. Step 6: Final answer
    x = 539,907.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.