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Finding the Third Proportional to 80,296.88 and 174,903.75

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Solution

The third proportional to 80,296.88 and 174,903.75 is: 380,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296.88 : 174,903.75 = 174,903.75 : x
  2. Step 2: Convert to fraction form
    80,296.88/174,903.75 = 174,903.75/x
  3. Step 3: Cross multiply
    80,296.88x = 174,903.75 × 174,903.75
  4. Step 4: Simplify right side
    80,296.88x = 30,591,321,764.06
  5. Step 5: Solve for x
    x = 30,591,321,764.06/80,296.88
  6. Step 6: Final answer
    x = 380,977.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.