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Finding the Third Proportional to 181,986 and 278,775

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Solution

The third proportional to 181,986 and 278,775 is: 427,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,986 : 278,775 = 278,775 : x
  2. Step 2: Convert to fraction form
    181,986/278,775 = 278,775/x
  3. Step 3: Cross multiply
    181,986x = 278,775 × 278,775
  4. Step 4: Simplify right side
    181,986x = 77,715,500,625
  5. Step 5: Solve for x
    x = 77,715,500,625/181,986
  6. Step 6: Final answer
    x = 427,041.09

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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.