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Finding the Third Proportional to 196,219 and 415,812

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Solution

The third proportional to 196,219 and 415,812 is: 881,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,219 : 415,812 = 415,812 : x
  2. Step 2: Convert to fraction form
    196,219/415,812 = 415,812/x
  3. Step 3: Cross multiply
    196,219x = 415,812 × 415,812
  4. Step 4: Simplify right side
    196,219x = 172,899,619,344
  5. Step 5: Solve for x
    x = 172,899,619,344/196,219
  6. Step 6: Final answer
    x = 881,156.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.