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Finding the Third Proportional to 196,880 and 421,734

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Solution

The third proportional to 196,880 and 421,734 is: 903,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,880 : 421,734 = 421,734 : x
  2. Step 2: Convert to fraction form
    196,880/421,734 = 421,734/x
  3. Step 3: Cross multiply
    196,880x = 421,734 × 421,734
  4. Step 4: Simplify right side
    196,880x = 177,859,566,756
  5. Step 5: Solve for x
    x = 177,859,566,756/196,880
  6. Step 6: Final answer
    x = 903,390.73

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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.