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Finding the Third Proportional to 80,286.75 and 174,877.88

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Solution

The third proportional to 80,286.75 and 174,877.88 is: 380,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286.75 : 174,877.88 = 174,877.88 : x
  2. Step 2: Convert to fraction form
    80,286.75/174,877.88 = 174,877.88/x
  3. Step 3: Cross multiply
    80,286.75x = 174,877.88 × 174,877.88
  4. Step 4: Simplify right side
    80,286.75x = 30,582,271,164.52
  5. Step 5: Solve for x
    x = 30,582,271,164.52/80,286.75
  6. Step 6: Final answer
    x = 380,913.05

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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.