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Finding the Third Proportional to 80,660.81 and 175,314.38

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Solution

The third proportional to 80,660.81 and 175,314.38 is: 381,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,660.81 : 175,314.38 = 175,314.38 : x
  2. Step 2: Convert to fraction form
    80,660.81/175,314.38 = 175,314.38/x
  3. Step 3: Cross multiply
    80,660.81x = 175,314.38 × 175,314.38
  4. Step 4: Simplify right side
    80,660.81x = 30,735,130,081.64
  5. Step 5: Solve for x
    x = 30,735,130,081.64/80,660.81
  6. Step 6: Final answer
    x = 381,041.66

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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.