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Finding the Third Proportional to 196,794 and 422,254

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Solution

The third proportional to 196,794 and 422,254 is: 906,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794 : 422,254 = 422,254 : x
  2. Step 2: Convert to fraction form
    196,794/422,254 = 422,254/x
  3. Step 3: Cross multiply
    196,794x = 422,254 × 422,254
  4. Step 4: Simplify right side
    196,794x = 178,298,440,516
  5. Step 5: Solve for x
    x = 178,298,440,516/196,794
  6. Step 6: Final answer
    x = 906,015.63

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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.