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Finding the Third Proportional to 85,601 and 184,378

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Solution

The third proportional to 85,601 and 184,378 is: 397,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,601 : 184,378 = 184,378 : x
  2. Step 2: Convert to fraction form
    85,601/184,378 = 184,378/x
  3. Step 3: Cross multiply
    85,601x = 184,378 × 184,378
  4. Step 4: Simplify right side
    85,601x = 33,995,246,884
  5. Step 5: Solve for x
    x = 33,995,246,884/85,601
  6. Step 6: Final answer
    x = 397,136.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.