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Finding the Third Proportional to 150,608 and 225,930

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Solution

The third proportional to 150,608 and 225,930 is: 338,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,608 : 225,930 = 225,930 : x
  2. Step 2: Convert to fraction form
    150,608/225,930 = 225,930/x
  3. Step 3: Cross multiply
    150,608x = 225,930 × 225,930
  4. Step 4: Simplify right side
    150,608x = 51,044,364,900
  5. Step 5: Solve for x
    x = 51,044,364,900/150,608
  6. Step 6: Final answer
    x = 338,922.00

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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.