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Finding the Third Proportional to 116,591 and 251,019

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Solution

The third proportional to 116,591 and 251,019 is: 540,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,591 : 251,019 = 251,019 : x
  2. Step 2: Convert to fraction form
    116,591/251,019 = 251,019/x
  3. Step 3: Cross multiply
    116,591x = 251,019 × 251,019
  4. Step 4: Simplify right side
    116,591x = 63,010,538,361
  5. Step 5: Solve for x
    x = 63,010,538,361/116,591
  6. Step 6: Final answer
    x = 540,440.84

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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.