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Finding the Third Proportional to 196,787 and 422,242

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Solution

The third proportional to 196,787 and 422,242 is: 905,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,787 : 422,242 = 422,242 : x
  2. Step 2: Convert to fraction form
    196,787/422,242 = 422,242/x
  3. Step 3: Cross multiply
    196,787x = 422,242 × 422,242
  4. Step 4: Simplify right side
    196,787x = 178,288,306,564
  5. Step 5: Solve for x
    x = 178,288,306,564/196,787
  6. Step 6: Final answer
    x = 905,996.36

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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.