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Finding the Third Proportional to 218,298.38 and 326,099.25

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Solution

The third proportional to 218,298.38 and 326,099.25 is: 487,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,298.38 : 326,099.25 = 326,099.25 : x
  2. Step 2: Convert to fraction form
    218,298.38/326,099.25 = 326,099.25/x
  3. Step 3: Cross multiply
    218,298.38x = 326,099.25 × 326,099.25
  4. Step 4: Simplify right side
    218,298.38x = 106,340,720,850.56
  5. Step 5: Solve for x
    x = 106,340,720,850.56/218,298.38
  6. Step 6: Final answer
    x = 487,134.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.