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Finding the Third Proportional to 131,301 and 196,902

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Solution

The third proportional to 131,301 and 196,902 is: 295,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301 : 196,902 = 196,902 : x
  2. Step 2: Convert to fraction form
    131,301/196,902 = 196,902/x
  3. Step 3: Cross multiply
    131,301x = 196,902 × 196,902
  4. Step 4: Simplify right side
    131,301x = 38,770,397,604
  5. Step 5: Solve for x
    x = 38,770,397,604/131,301
  6. Step 6: Final answer
    x = 295,278.77

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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.