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Finding the Third Proportional to 196,723 and 421,494

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Solution

The third proportional to 196,723 and 421,494 is: 903,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,723 : 421,494 = 421,494 : x
  2. Step 2: Convert to fraction form
    196,723/421,494 = 421,494/x
  3. Step 3: Cross multiply
    196,723x = 421,494 × 421,494
  4. Step 4: Simplify right side
    196,723x = 177,657,192,036
  5. Step 5: Solve for x
    x = 177,657,192,036/196,723
  6. Step 6: Final answer
    x = 903,082.97

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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.