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Finding the Third Proportional to 181,022 and 386,086

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Solution

The third proportional to 181,022 and 386,086 is: 823,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,022 : 386,086 = 386,086 : x
  2. Step 2: Convert to fraction form
    181,022/386,086 = 386,086/x
  3. Step 3: Cross multiply
    181,022x = 386,086 × 386,086
  4. Step 4: Simplify right side
    181,022x = 149,062,399,396
  5. Step 5: Solve for x
    x = 149,062,399,396/181,022
  6. Step 6: Final answer
    x = 823,449.08

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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.