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Finding the Third Proportional to 82,812.38 and 179,628.75

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Solution

The third proportional to 82,812.38 and 179,628.75 is: 389,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.38 : 179,628.75 = 179,628.75 : x
  2. Step 2: Convert to fraction form
    82,812.38/179,628.75 = 179,628.75/x
  3. Step 3: Cross multiply
    82,812.38x = 179,628.75 × 179,628.75
  4. Step 4: Simplify right side
    82,812.38x = 32,266,487,826.56
  5. Step 5: Solve for x
    x = 32,266,487,826.56/82,812.38
  6. Step 6: Final answer
    x = 389,633.65

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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.