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Finding the Third Proportional to 217,674 and 327,786.75

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Solution

The third proportional to 217,674 and 327,786.75 is: 493,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,674 : 327,786.75 = 327,786.75 : x
  2. Step 2: Convert to fraction form
    217,674/327,786.75 = 327,786.75/x
  3. Step 3: Cross multiply
    217,674x = 327,786.75 × 327,786.75
  4. Step 4: Simplify right side
    217,674x = 107,444,153,475.56
  5. Step 5: Solve for x
    x = 107,444,153,475.56/217,674
  6. Step 6: Final answer
    x = 493,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.