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Finding the Third Proportional to 184,466 and 270,131

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Solution

The third proportional to 184,466 and 270,131 is: 395,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,466 : 270,131 = 270,131 : x
  2. Step 2: Convert to fraction form
    184,466/270,131 = 270,131/x
  3. Step 3: Cross multiply
    184,466x = 270,131 × 270,131
  4. Step 4: Simplify right side
    184,466x = 72,970,757,161
  5. Step 5: Solve for x
    x = 72,970,757,161/184,466
  6. Step 6: Final answer
    x = 395,578.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.