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Finding the Third Proportional to 225,831 and 330,266

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Solution

The third proportional to 225,831 and 330,266 is: 482,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,831 : 330,266 = 330,266 : x
  2. Step 2: Convert to fraction form
    225,831/330,266 = 330,266/x
  3. Step 3: Cross multiply
    225,831x = 330,266 × 330,266
  4. Step 4: Simplify right side
    225,831x = 109,075,630,756
  5. Step 5: Solve for x
    x = 109,075,630,756/225,831
  6. Step 6: Final answer
    x = 482,996.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.