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Finding the Third Proportional to 80,512.31 and 174,858.75

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Solution

The third proportional to 80,512.31 and 174,858.75 is: 379,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512.31 : 174,858.75 = 174,858.75 : x
  2. Step 2: Convert to fraction form
    80,512.31/174,858.75 = 174,858.75/x
  3. Step 3: Cross multiply
    80,512.31x = 174,858.75 × 174,858.75
  4. Step 4: Simplify right side
    80,512.31x = 30,575,582,451.56
  5. Step 5: Solve for x
    x = 30,575,582,451.56/80,512.31
  6. Step 6: Final answer
    x = 379,762.82

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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.