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Finding the Third Proportional to 217,251 and 324,642.75

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Solution

The third proportional to 217,251 and 324,642.75 is: 485,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,251 : 324,642.75 = 324,642.75 : x
  2. Step 2: Convert to fraction form
    217,251/324,642.75 = 324,642.75/x
  3. Step 3: Cross multiply
    217,251x = 324,642.75 × 324,642.75
  4. Step 4: Simplify right side
    217,251x = 105,392,915,127.56
  5. Step 5: Solve for x
    x = 105,392,915,127.56/217,251
  6. Step 6: Final answer
    x = 485,120.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.