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Finding the Third Proportional to 211,608 and 327,924

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Solution

The third proportional to 211,608 and 327,924 is: 508,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,608 : 327,924 = 327,924 : x
  2. Step 2: Convert to fraction form
    211,608/327,924 = 327,924/x
  3. Step 3: Cross multiply
    211,608x = 327,924 × 327,924
  4. Step 4: Simplify right side
    211,608x = 107,534,149,776
  5. Step 5: Solve for x
    x = 107,534,149,776/211,608
  6. Step 6: Final answer
    x = 508,176.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.