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Finding the Third Proportional to 80,378.25 and 174,593.75

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Solution

The third proportional to 80,378.25 and 174,593.75 is: 379,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,378.25 : 174,593.75 = 174,593.75 : x
  2. Step 2: Convert to fraction form
    80,378.25/174,593.75 = 174,593.75/x
  3. Step 3: Cross multiply
    80,378.25x = 174,593.75 × 174,593.75
  4. Step 4: Simplify right side
    80,378.25x = 30,482,977,539.06
  5. Step 5: Solve for x
    x = 30,482,977,539.06/80,378.25
  6. Step 6: Final answer
    x = 379,244.11

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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.