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Finding the Third Proportional to 183,027 and 278,061

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Solution

The third proportional to 183,027 and 278,061 is: 422,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,027 : 278,061 = 278,061 : x
  2. Step 2: Convert to fraction form
    183,027/278,061 = 278,061/x
  3. Step 3: Cross multiply
    183,027x = 278,061 × 278,061
  4. Step 4: Simplify right side
    183,027x = 77,317,919,721
  5. Step 5: Solve for x
    x = 77,317,919,721/183,027
  6. Step 6: Final answer
    x = 422,439.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.