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Finding the Third Proportional to 238,982 and 324,759

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Solution

The third proportional to 238,982 and 324,759 is: 441,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,982 : 324,759 = 324,759 : x
  2. Step 2: Convert to fraction form
    238,982/324,759 = 324,759/x
  3. Step 3: Cross multiply
    238,982x = 324,759 × 324,759
  4. Step 4: Simplify right side
    238,982x = 105,468,408,081
  5. Step 5: Solve for x
    x = 105,468,408,081/238,982
  6. Step 6: Final answer
    x = 441,323.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.