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Finding the Third Proportional to 82,234.13 and 180,172.69

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Solution

The third proportional to 82,234.13 and 180,172.69 is: 394,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.13 : 180,172.69 = 180,172.69 : x
  2. Step 2: Convert to fraction form
    82,234.13/180,172.69 = 180,172.69/x
  3. Step 3: Cross multiply
    82,234.13x = 180,172.69 × 180,172.69
  4. Step 4: Simplify right side
    82,234.13x = 32,462,197,320.97
  5. Step 5: Solve for x
    x = 32,462,197,320.97/82,234.13
  6. Step 6: Final answer
    x = 394,753.36

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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.