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Finding the Third Proportional to 196,519 and 421,078

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Solution

The third proportional to 196,519 and 421,078 is: 902,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,519 : 421,078 = 421,078 : x
  2. Step 2: Convert to fraction form
    196,519/421,078 = 421,078/x
  3. Step 3: Cross multiply
    196,519x = 421,078 × 421,078
  4. Step 4: Simplify right side
    196,519x = 177,306,682,084
  5. Step 5: Solve for x
    x = 177,306,682,084/196,519
  6. Step 6: Final answer
    x = 902,236.84

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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.