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Finding the Third Proportional to 238,976 and 324,748

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Solution

The third proportional to 238,976 and 324,748 is: 441,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,976 : 324,748 = 324,748 : x
  2. Step 2: Convert to fraction form
    238,976/324,748 = 324,748/x
  3. Step 3: Cross multiply
    238,976x = 324,748 × 324,748
  4. Step 4: Simplify right side
    238,976x = 105,461,263,504
  5. Step 5: Solve for x
    x = 105,461,263,504/238,976
  6. Step 6: Final answer
    x = 441,304.83

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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.