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Finding the Third Proportional to 197,379 and 291,694

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Solution

The third proportional to 197,379 and 291,694 is: 431,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,379 : 291,694 = 291,694 : x
  2. Step 2: Convert to fraction form
    197,379/291,694 = 291,694/x
  3. Step 3: Cross multiply
    197,379x = 291,694 × 291,694
  4. Step 4: Simplify right side
    197,379x = 85,085,389,636
  5. Step 5: Solve for x
    x = 85,085,389,636/197,379
  6. Step 6: Final answer
    x = 431,076.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.