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Finding the Third Proportional to 80,453.25 and 174,914.44

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Solution

The third proportional to 80,453.25 and 174,914.44 is: 380,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,453.25 : 174,914.44 = 174,914.44 : x
  2. Step 2: Convert to fraction form
    80,453.25/174,914.44 = 174,914.44/x
  3. Step 3: Cross multiply
    80,453.25x = 174,914.44 × 174,914.44
  4. Step 4: Simplify right side
    80,453.25x = 30,595,060,445.94
  5. Step 5: Solve for x
    x = 30,595,060,445.94/80,453.25
  6. Step 6: Final answer
    x = 380,283.71

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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.