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Finding the Third Proportional to 176,791.50 and 381,825

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Solution

The third proportional to 176,791.50 and 381,825 is: 824,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,791.50 : 381,825 = 381,825 : x
  2. Step 2: Convert to fraction form
    176,791.50/381,825 = 381,825/x
  3. Step 3: Cross multiply
    176,791.50x = 381,825 × 381,825
  4. Step 4: Simplify right side
    176,791.50x = 145,790,330,625
  5. Step 5: Solve for x
    x = 145,790,330,625/176,791.50
  6. Step 6: Final answer
    x = 824,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.