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Finding the Third Proportional to 80,865.56 and 175,475.81

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Solution

The third proportional to 80,865.56 and 175,475.81 is: 380,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,865.56 : 175,475.81 = 175,475.81 : x
  2. Step 2: Convert to fraction form
    80,865.56/175,475.81 = 175,475.81/x
  3. Step 3: Cross multiply
    80,865.56x = 175,475.81 × 175,475.81
  4. Step 4: Simplify right side
    80,865.56x = 30,791,760,772.54
  5. Step 5: Solve for x
    x = 30,791,760,772.54/80,865.56
  6. Step 6: Final answer
    x = 380,777.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.