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Finding the Third Proportional to 179,814 and 270,183

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Solution

The third proportional to 179,814 and 270,183 is: 405,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,814 : 270,183 = 270,183 : x
  2. Step 2: Convert to fraction form
    179,814/270,183 = 270,183/x
  3. Step 3: Cross multiply
    179,814x = 270,183 × 270,183
  4. Step 4: Simplify right side
    179,814x = 72,998,853,489
  5. Step 5: Solve for x
    x = 72,998,853,489/179,814
  6. Step 6: Final answer
    x = 405,968.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.