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Finding the Third Proportional to 119,149.88 and 261,914.25

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Solution

The third proportional to 119,149.88 and 261,914.25 is: 575,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149.88 : 261,914.25 = 261,914.25 : x
  2. Step 2: Convert to fraction form
    119,149.88/261,914.25 = 261,914.25/x
  3. Step 3: Cross multiply
    119,149.88x = 261,914.25 × 261,914.25
  4. Step 4: Simplify right side
    119,149.88x = 68,599,074,353.06
  5. Step 5: Solve for x
    x = 68,599,074,353.06/119,149.88
  6. Step 6: Final answer
    x = 575,737.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.