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Finding the Third Proportional to 80,382.75 and 174,600.75

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Solution

The third proportional to 80,382.75 and 174,600.75 is: 379,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,382.75 : 174,600.75 = 174,600.75 : x
  2. Step 2: Convert to fraction form
    80,382.75/174,600.75 = 174,600.75/x
  3. Step 3: Cross multiply
    80,382.75x = 174,600.75 × 174,600.75
  4. Step 4: Simplify right side
    80,382.75x = 30,485,421,900.56
  5. Step 5: Solve for x
    x = 30,485,421,900.56/80,382.75
  6. Step 6: Final answer
    x = 379,253.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.