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Finding the Third Proportional to 150,652 and 327,518

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Solution

The third proportional to 150,652 and 327,518 is: 712,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652 : 327,518 = 327,518 : x
  2. Step 2: Convert to fraction form
    150,652/327,518 = 327,518/x
  3. Step 3: Cross multiply
    150,652x = 327,518 × 327,518
  4. Step 4: Simplify right side
    150,652x = 107,268,040,324
  5. Step 5: Solve for x
    x = 107,268,040,324/150,652
  6. Step 6: Final answer
    x = 712,025.33

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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.