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Finding the Third Proportional to 149,745.38 and 327,246.75

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Solution

The third proportional to 149,745.38 and 327,246.75 is: 715,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,745.38 : 327,246.75 = 327,246.75 : x
  2. Step 2: Convert to fraction form
    149,745.38/327,246.75 = 327,246.75/x
  3. Step 3: Cross multiply
    149,745.38x = 327,246.75 × 327,246.75
  4. Step 4: Simplify right side
    149,745.38x = 107,090,435,385.56
  5. Step 5: Solve for x
    x = 107,090,435,385.56/149,745.38
  6. Step 6: Final answer
    x = 715,150.20

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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.