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Finding the Third Proportional to 80,301.38 and 174,912.75

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Solution

The third proportional to 80,301.38 and 174,912.75 is: 380,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.38 : 174,912.75 = 174,912.75 : x
  2. Step 2: Convert to fraction form
    80,301.38/174,912.75 = 174,912.75/x
  3. Step 3: Cross multiply
    80,301.38x = 174,912.75 × 174,912.75
  4. Step 4: Simplify right side
    80,301.38x = 30,594,470,112.56
  5. Step 5: Solve for x
    x = 30,594,470,112.56/80,301.38
  6. Step 6: Final answer
    x = 380,995.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.