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Finding the Third Proportional to 238,068 and 324,198

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Solution

The third proportional to 238,068 and 324,198 is: 441,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,068 : 324,198 = 324,198 : x
  2. Step 2: Convert to fraction form
    238,068/324,198 = 324,198/x
  3. Step 3: Cross multiply
    238,068x = 324,198 × 324,198
  4. Step 4: Simplify right side
    238,068x = 105,104,343,204
  5. Step 5: Solve for x
    x = 105,104,343,204/238,068
  6. Step 6: Final answer
    x = 441,488.75

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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.