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Finding the Third Proportional to 196,890 and 421,782

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Solution

The third proportional to 196,890 and 421,782 is: 903,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,890 : 421,782 = 421,782 : x
  2. Step 2: Convert to fraction form
    196,890/421,782 = 421,782/x
  3. Step 3: Cross multiply
    196,890x = 421,782 × 421,782
  4. Step 4: Simplify right side
    196,890x = 177,900,055,524
  5. Step 5: Solve for x
    x = 177,900,055,524/196,890
  6. Step 6: Final answer
    x = 903,550.49

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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.