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Finding the Third Proportional to 211,832 and 327,144

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Solution

The third proportional to 211,832 and 327,144 is: 505,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,832 : 327,144 = 327,144 : x
  2. Step 2: Convert to fraction form
    211,832/327,144 = 327,144/x
  3. Step 3: Cross multiply
    211,832x = 327,144 × 327,144
  4. Step 4: Simplify right side
    211,832x = 107,023,196,736
  5. Step 5: Solve for x
    x = 107,023,196,736/211,832
  6. Step 6: Final answer
    x = 505,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.