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Finding the Third Proportional to 131,257 and 196,843

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Solution

The third proportional to 131,257 and 196,843 is: 295,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,257 : 196,843 = 196,843 : x
  2. Step 2: Convert to fraction form
    131,257/196,843 = 196,843/x
  3. Step 3: Cross multiply
    131,257x = 196,843 × 196,843
  4. Step 4: Simplify right side
    131,257x = 38,747,166,649
  5. Step 5: Solve for x
    x = 38,747,166,649/131,257
  6. Step 6: Final answer
    x = 295,200.76

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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.