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Finding the Third Proportional to 193,872 and 279,234

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Solution

The third proportional to 193,872 and 279,234 is: 402,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,872 : 279,234 = 279,234 : x
  2. Step 2: Convert to fraction form
    193,872/279,234 = 279,234/x
  3. Step 3: Cross multiply
    193,872x = 279,234 × 279,234
  4. Step 4: Simplify right side
    193,872x = 77,971,626,756
  5. Step 5: Solve for x
    x = 77,971,626,756/193,872
  6. Step 6: Final answer
    x = 402,180.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.