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Finding the Third Proportional to 181,786 and 279,027

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Solution

The third proportional to 181,786 and 279,027 is: 428,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,786 : 279,027 = 279,027 : x
  2. Step 2: Convert to fraction form
    181,786/279,027 = 279,027/x
  3. Step 3: Cross multiply
    181,786x = 279,027 × 279,027
  4. Step 4: Simplify right side
    181,786x = 77,856,066,729
  5. Step 5: Solve for x
    x = 77,856,066,729/181,786
  6. Step 6: Final answer
    x = 428,284.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.