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Finding the Third Proportional to 80,299.50 and 174,903.75

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Solution

The third proportional to 80,299.50 and 174,903.75 is: 380,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,299.50 : 174,903.75 = 174,903.75 : x
  2. Step 2: Convert to fraction form
    80,299.50/174,903.75 = 174,903.75/x
  3. Step 3: Cross multiply
    80,299.50x = 174,903.75 × 174,903.75
  4. Step 4: Simplify right side
    80,299.50x = 30,591,321,764.06
  5. Step 5: Solve for x
    x = 30,591,321,764.06/80,299.50
  6. Step 6: Final answer
    x = 380,965.28

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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.