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Finding the Third Proportional to 150,849 and 331,829

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Solution

The third proportional to 150,849 and 331,829 is: 729,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,849 : 331,829 = 331,829 : x
  2. Step 2: Convert to fraction form
    150,849/331,829 = 331,829/x
  3. Step 3: Cross multiply
    150,849x = 331,829 × 331,829
  4. Step 4: Simplify right side
    150,849x = 110,110,485,241
  5. Step 5: Solve for x
    x = 110,110,485,241/150,849
  6. Step 6: Final answer
    x = 729,938.45

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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.