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Finding the Third Proportional to 196,788 and 422,244

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Solution

The third proportional to 196,788 and 422,244 is: 906,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,788 : 422,244 = 422,244 : x
  2. Step 2: Convert to fraction form
    196,788/422,244 = 422,244/x
  3. Step 3: Cross multiply
    196,788x = 422,244 × 422,244
  4. Step 4: Simplify right side
    196,788x = 178,289,995,536
  5. Step 5: Solve for x
    x = 178,289,995,536/196,788
  6. Step 6: Final answer
    x = 906,000.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.