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Finding the Third Proportional to 192,556 and 410,873

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Solution

The third proportional to 192,556 and 410,873 is: 876,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,556 : 410,873 = 410,873 : x
  2. Step 2: Convert to fraction form
    192,556/410,873 = 410,873/x
  3. Step 3: Cross multiply
    192,556x = 410,873 × 410,873
  4. Step 4: Simplify right side
    192,556x = 168,816,622,129
  5. Step 5: Solve for x
    x = 168,816,622,129/192,556
  6. Step 6: Final answer
    x = 876,714.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.