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Finding the Third Proportional to 85,183 and 184,471

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Solution

The third proportional to 85,183 and 184,471 is: 399,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,183 : 184,471 = 184,471 : x
  2. Step 2: Convert to fraction form
    85,183/184,471 = 184,471/x
  3. Step 3: Cross multiply
    85,183x = 184,471 × 184,471
  4. Step 4: Simplify right side
    85,183x = 34,029,549,841
  5. Step 5: Solve for x
    x = 34,029,549,841/85,183
  6. Step 6: Final answer
    x = 399,487.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.