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Finding the Third Proportional to 128,380 and 196,902

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Solution

The third proportional to 128,380 and 196,902 is: 301,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,380 : 196,902 = 196,902 : x
  2. Step 2: Convert to fraction form
    128,380/196,902 = 196,902/x
  3. Step 3: Cross multiply
    128,380x = 196,902 × 196,902
  4. Step 4: Simplify right side
    128,380x = 38,770,397,604
  5. Step 5: Solve for x
    x = 38,770,397,604/128,380
  6. Step 6: Final answer
    x = 301,997.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.