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Finding the Third Proportional to 138,782 and 327,504

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Solution

The third proportional to 138,782 and 327,504 is: 772,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782 : 327,504 = 327,504 : x
  2. Step 2: Convert to fraction form
    138,782/327,504 = 327,504/x
  3. Step 3: Cross multiply
    138,782x = 327,504 × 327,504
  4. Step 4: Simplify right side
    138,782x = 107,258,870,016
  5. Step 5: Solve for x
    x = 107,258,870,016/138,782
  6. Step 6: Final answer
    x = 772,858.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.