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Finding the Third Proportional to 85,840 and 184,928

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Solution

The third proportional to 85,840 and 184,928 is: 398,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840 : 184,928 = 184,928 : x
  2. Step 2: Convert to fraction form
    85,840/184,928 = 184,928/x
  3. Step 3: Cross multiply
    85,840x = 184,928 × 184,928
  4. Step 4: Simplify right side
    85,840x = 34,198,365,184
  5. Step 5: Solve for x
    x = 34,198,365,184/85,840
  6. Step 6: Final answer
    x = 398,396.61

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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.