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Finding the Third Proportional to 82,371.50 and 180,781

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Solution

The third proportional to 82,371.50 and 180,781 is: 396,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,371.50 : 180,781 = 180,781 : x
  2. Step 2: Convert to fraction form
    82,371.50/180,781 = 180,781/x
  3. Step 3: Cross multiply
    82,371.50x = 180,781 × 180,781
  4. Step 4: Simplify right side
    82,371.50x = 32,681,769,961
  5. Step 5: Solve for x
    x = 32,681,769,961/82,371.50
  6. Step 6: Final answer
    x = 396,760.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.