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Finding the Third Proportional to 192,618 and 410,166

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Solution

The third proportional to 192,618 and 410,166 is: 873,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,618 : 410,166 = 410,166 : x
  2. Step 2: Convert to fraction form
    192,618/410,166 = 410,166/x
  3. Step 3: Cross multiply
    192,618x = 410,166 × 410,166
  4. Step 4: Simplify right side
    192,618x = 168,236,147,556
  5. Step 5: Solve for x
    x = 168,236,147,556/192,618
  6. Step 6: Final answer
    x = 873,418.62

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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.