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Finding the Third Proportional to 196,678 and 422,031

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Solution

The third proportional to 196,678 and 422,031 is: 905,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,678 : 422,031 = 422,031 : x
  2. Step 2: Convert to fraction form
    196,678/422,031 = 422,031/x
  3. Step 3: Cross multiply
    196,678x = 422,031 × 422,031
  4. Step 4: Simplify right side
    196,678x = 178,110,164,961
  5. Step 5: Solve for x
    x = 178,110,164,961/196,678
  6. Step 6: Final answer
    x = 905,592.72

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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.