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Finding the Third Proportional to 131,278 and 196,876

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Solution

The third proportional to 131,278 and 196,876 is: 295,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,278 : 196,876 = 196,876 : x
  2. Step 2: Convert to fraction form
    131,278/196,876 = 196,876/x
  3. Step 3: Cross multiply
    131,278x = 196,876 × 196,876
  4. Step 4: Simplify right side
    131,278x = 38,760,159,376
  5. Step 5: Solve for x
    x = 38,760,159,376/131,278
  6. Step 6: Final answer
    x = 295,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.