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Finding the Third Proportional to 171,861.75 and 377,571.38

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Solution

The third proportional to 171,861.75 and 377,571.38 is: 829,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,861.75 : 377,571.38 = 377,571.38 : x
  2. Step 2: Convert to fraction form
    171,861.75/377,571.38 = 377,571.38/x
  3. Step 3: Cross multiply
    171,861.75x = 377,571.38 × 377,571.38
  4. Step 4: Simplify right side
    171,861.75x = 142,560,143,219.39
  5. Step 5: Solve for x
    x = 142,560,143,219.39/171,861.75
  6. Step 6: Final answer
    x = 829,504.78

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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.