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Finding the Third Proportional to 79,382.67 and 171,229.22

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Solution

The third proportional to 79,382.67 and 171,229.22 is: 369,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,382.67 : 171,229.22 = 171,229.22 : x
  2. Step 2: Convert to fraction form
    79,382.67/171,229.22 = 171,229.22/x
  3. Step 3: Cross multiply
    79,382.67x = 171,229.22 × 171,229.22
  4. Step 4: Simplify right side
    79,382.67x = 29,319,445,353.74
  5. Step 5: Solve for x
    x = 29,319,445,353.74/79,382.67
  6. Step 6: Final answer
    x = 369,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.