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Finding the Third Proportional to 80,866.13 and 175,476.38

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Solution

The third proportional to 80,866.13 and 175,476.38 is: 380,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,866.13 : 175,476.38 = 175,476.38 : x
  2. Step 2: Convert to fraction form
    80,866.13/175,476.38 = 175,476.38/x
  3. Step 3: Cross multiply
    80,866.13x = 175,476.38 × 175,476.38
  4. Step 4: Simplify right side
    80,866.13x = 30,791,958,183.14
  5. Step 5: Solve for x
    x = 30,791,958,183.14/80,866.13
  6. Step 6: Final answer
    x = 380,776.97

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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.