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Finding the Third Proportional to 80,589.38 and 175,171.22

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Solution

The third proportional to 80,589.38 and 175,171.22 is: 380,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,589.38 : 175,171.22 = 175,171.22 : x
  2. Step 2: Convert to fraction form
    80,589.38/175,171.22 = 175,171.22/x
  3. Step 3: Cross multiply
    80,589.38x = 175,171.22 × 175,171.22
  4. Step 4: Simplify right side
    80,589.38x = 30,684,955,878.36
  5. Step 5: Solve for x
    x = 30,684,955,878.36/80,589.38
  6. Step 6: Final answer
    x = 380,756.84

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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.