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Finding the Third Proportional to 150,843 and 331,818

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Solution

The third proportional to 150,843 and 331,818 is: 729,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843 : 331,818 = 331,818 : x
  2. Step 2: Convert to fraction form
    150,843/331,818 = 331,818/x
  3. Step 3: Cross multiply
    150,843x = 331,818 × 331,818
  4. Step 4: Simplify right side
    150,843x = 110,103,185,124
  5. Step 5: Solve for x
    x = 110,103,185,124/150,843
  6. Step 6: Final answer
    x = 729,919.09

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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.