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Finding the Third Proportional to 226,743 and 327,774

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Solution

The third proportional to 226,743 and 327,774 is: 473,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,743 : 327,774 = 327,774 : x
  2. Step 2: Convert to fraction form
    226,743/327,774 = 327,774/x
  3. Step 3: Cross multiply
    226,743x = 327,774 × 327,774
  4. Step 4: Simplify right side
    226,743x = 107,435,795,076
  5. Step 5: Solve for x
    x = 107,435,795,076/226,743
  6. Step 6: Final answer
    x = 473,821.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.