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Finding the Third Proportional to 82,227.38 and 179,672.63

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Solution

The third proportional to 82,227.38 and 179,672.63 is: 392,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.38 : 179,672.63 = 179,672.63 : x
  2. Step 2: Convert to fraction form
    82,227.38/179,672.63 = 179,672.63/x
  3. Step 3: Cross multiply
    82,227.38x = 179,672.63 × 179,672.63
  4. Step 4: Simplify right side
    82,227.38x = 32,282,252,174.39
  5. Step 5: Solve for x
    x = 32,282,252,174.39/82,227.38
  6. Step 6: Final answer
    x = 392,597.38

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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.