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Finding the Third Proportional to 131,260 and 196,847

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Solution

The third proportional to 131,260 and 196,847 is: 295,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,260 : 196,847 = 196,847 : x
  2. Step 2: Convert to fraction form
    131,260/196,847 = 196,847/x
  3. Step 3: Cross multiply
    131,260x = 196,847 × 196,847
  4. Step 4: Simplify right side
    131,260x = 38,748,741,409
  5. Step 5: Solve for x
    x = 38,748,741,409/131,260
  6. Step 6: Final answer
    x = 295,206.01

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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.