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Finding the Third Proportional to 196,761 and 421,530

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Solution

The third proportional to 196,761 and 421,530 is: 903,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,761 : 421,530 = 421,530 : x
  2. Step 2: Convert to fraction form
    196,761/421,530 = 421,530/x
  3. Step 3: Cross multiply
    196,761x = 421,530 × 421,530
  4. Step 4: Simplify right side
    196,761x = 177,687,540,900
  5. Step 5: Solve for x
    x = 177,687,540,900/196,761
  6. Step 6: Final answer
    x = 903,062.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.