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Finding the Third Proportional to 150,419 and 225,661

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Solution

The third proportional to 150,419 and 225,661 is: 338,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,419 : 225,661 = 225,661 : x
  2. Step 2: Convert to fraction form
    150,419/225,661 = 225,661/x
  3. Step 3: Cross multiply
    150,419x = 225,661 × 225,661
  4. Step 4: Simplify right side
    150,419x = 50,922,886,921
  5. Step 5: Solve for x
    x = 50,922,886,921/150,419
  6. Step 6: Final answer
    x = 338,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.