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Finding the Third Proportional to 181,758 and 278,991

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Solution

The third proportional to 181,758 and 278,991 is: 428,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,758 : 278,991 = 278,991 : x
  2. Step 2: Convert to fraction form
    181,758/278,991 = 278,991/x
  3. Step 3: Cross multiply
    181,758x = 278,991 × 278,991
  4. Step 4: Simplify right side
    181,758x = 77,835,978,081
  5. Step 5: Solve for x
    x = 77,835,978,081/181,758
  6. Step 6: Final answer
    x = 428,239.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.