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Finding the Third Proportional to 196,794 and 276,147

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Solution

The third proportional to 196,794 and 276,147 is: 387,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794 : 276,147 = 276,147 : x
  2. Step 2: Convert to fraction form
    196,794/276,147 = 276,147/x
  3. Step 3: Cross multiply
    196,794x = 276,147 × 276,147
  4. Step 4: Simplify right side
    196,794x = 76,257,165,609
  5. Step 5: Solve for x
    x = 76,257,165,609/196,794
  6. Step 6: Final answer
    x = 387,497.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.