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Finding the Third Proportional to 177,634.50 and 381,867

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Solution

The third proportional to 177,634.50 and 381,867 is: 820,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,634.50 : 381,867 = 381,867 : x
  2. Step 2: Convert to fraction form
    177,634.50/381,867 = 381,867/x
  3. Step 3: Cross multiply
    177,634.50x = 381,867 × 381,867
  4. Step 4: Simplify right side
    177,634.50x = 145,822,405,689
  5. Step 5: Solve for x
    x = 145,822,405,689/177,634.50
  6. Step 6: Final answer
    x = 820,912.64

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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.