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Finding the Third Proportional to 227,338 and 331,012

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Solution

The third proportional to 227,338 and 331,012 is: 481,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,338 : 331,012 = 331,012 : x
  2. Step 2: Convert to fraction form
    227,338/331,012 = 331,012/x
  3. Step 3: Cross multiply
    227,338x = 331,012 × 331,012
  4. Step 4: Simplify right side
    227,338x = 109,568,944,144
  5. Step 5: Solve for x
    x = 109,568,944,144/227,338
  6. Step 6: Final answer
    x = 481,964.93

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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.