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Finding the Third Proportional to 211,824 and 327,132

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Solution

The third proportional to 211,824 and 327,132 is: 505,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 327,132 = 327,132 : x
  2. Step 2: Convert to fraction form
    211,824/327,132 = 327,132/x
  3. Step 3: Cross multiply
    211,824x = 327,132 × 327,132
  4. Step 4: Simplify right side
    211,824x = 107,015,345,424
  5. Step 5: Solve for x
    x = 107,015,345,424/211,824
  6. Step 6: Final answer
    x = 505,208.78

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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.