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Finding the Third Proportional to 196,164 and 415,866

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Solution

The third proportional to 196,164 and 415,866 is: 881,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,164 : 415,866 = 415,866 : x
  2. Step 2: Convert to fraction form
    196,164/415,866 = 415,866/x
  3. Step 3: Cross multiply
    196,164x = 415,866 × 415,866
  4. Step 4: Simplify right side
    196,164x = 172,944,529,956
  5. Step 5: Solve for x
    x = 172,944,529,956/196,164
  6. Step 6: Final answer
    x = 881,632.36

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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.