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Finding the Third Proportional to 80,741.81 and 175,478.91

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Solution

The third proportional to 80,741.81 and 175,478.91 is: 381,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,741.81 : 175,478.91 = 175,478.91 : x
  2. Step 2: Convert to fraction form
    80,741.81/175,478.91 = 175,478.91/x
  3. Step 3: Cross multiply
    80,741.81x = 175,478.91 × 175,478.91
  4. Step 4: Simplify right side
    80,741.81x = 30,792,846,538.70
  5. Step 5: Solve for x
    x = 30,792,846,538.70/80,741.81
  6. Step 6: Final answer
    x = 381,374.23

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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.