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Finding the Third Proportional to 150,608 and 331,952

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Solution

The third proportional to 150,608 and 331,952 is: 731,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,608 : 331,952 = 331,952 : x
  2. Step 2: Convert to fraction form
    150,608/331,952 = 331,952/x
  3. Step 3: Cross multiply
    150,608x = 331,952 × 331,952
  4. Step 4: Simplify right side
    150,608x = 110,192,130,304
  5. Step 5: Solve for x
    x = 110,192,130,304/150,608
  6. Step 6: Final answer
    x = 731,648.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.