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Finding the Third Proportional to 116,589 and 251,015

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Solution

The third proportional to 116,589 and 251,015 is: 540,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,589 : 251,015 = 251,015 : x
  2. Step 2: Convert to fraction form
    116,589/251,015 = 251,015/x
  3. Step 3: Cross multiply
    116,589x = 251,015 × 251,015
  4. Step 4: Simplify right side
    116,589x = 63,008,530,225
  5. Step 5: Solve for x
    x = 63,008,530,225/116,589
  6. Step 6: Final answer
    x = 540,432.89

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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.