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Finding the Third Proportional to 226,756 and 327,786

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Solution

The third proportional to 226,756 and 327,786 is: 473,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,756 : 327,786 = 327,786 : x
  2. Step 2: Convert to fraction form
    226,756/327,786 = 327,786/x
  3. Step 3: Cross multiply
    226,756x = 327,786 × 327,786
  4. Step 4: Simplify right side
    226,756x = 107,443,661,796
  5. Step 5: Solve for x
    x = 107,443,661,796/226,756
  6. Step 6: Final answer
    x = 473,829.41

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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.