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Finding the Third Proportional to 226,754 and 327,790

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Solution

The third proportional to 226,754 and 327,790 is: 473,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,754 : 327,790 = 327,790 : x
  2. Step 2: Convert to fraction form
    226,754/327,790 = 327,790/x
  3. Step 3: Cross multiply
    226,754x = 327,790 × 327,790
  4. Step 4: Simplify right side
    226,754x = 107,446,284,100
  5. Step 5: Solve for x
    x = 107,446,284,100/226,754
  6. Step 6: Final answer
    x = 473,845.15

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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.