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Finding the Third Proportional to 120,344 and 184,992

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Solution

The third proportional to 120,344 and 184,992 is: 284,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,344 : 184,992 = 184,992 : x
  2. Step 2: Convert to fraction form
    120,344/184,992 = 184,992/x
  3. Step 3: Cross multiply
    120,344x = 184,992 × 184,992
  4. Step 4: Simplify right side
    120,344x = 34,222,040,064
  5. Step 5: Solve for x
    x = 34,222,040,064/120,344
  6. Step 6: Final answer
    x = 284,368.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.