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Finding the Third Proportional to 80,478.56 and 174,846.94

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Solution

The third proportional to 80,478.56 and 174,846.94 is: 379,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.56 : 174,846.94 = 174,846.94 : x
  2. Step 2: Convert to fraction form
    80,478.56/174,846.94 = 174,846.94/x
  3. Step 3: Cross multiply
    80,478.56x = 174,846.94 × 174,846.94
  4. Step 4: Simplify right side
    80,478.56x = 30,571,451,553.13
  5. Step 5: Solve for x
    x = 30,571,451,553.13/80,478.56
  6. Step 6: Final answer
    x = 379,870.75

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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.