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Finding the Third Proportional to 196,161 and 415,863

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Solution

The third proportional to 196,161 and 415,863 is: 881,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,161 : 415,863 = 415,863 : x
  2. Step 2: Convert to fraction form
    196,161/415,863 = 415,863/x
  3. Step 3: Cross multiply
    196,161x = 415,863 × 415,863
  4. Step 4: Simplify right side
    196,161x = 172,942,034,769
  5. Step 5: Solve for x
    x = 172,942,034,769/196,161
  6. Step 6: Final answer
    x = 881,633.12

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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.