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Finding the Third Proportional to 85,327.50 and 186,183

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Solution

The third proportional to 85,327.50 and 186,183 is: 406,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327.50 : 186,183 = 186,183 : x
  2. Step 2: Convert to fraction form
    85,327.50/186,183 = 186,183/x
  3. Step 3: Cross multiply
    85,327.50x = 186,183 × 186,183
  4. Step 4: Simplify right side
    85,327.50x = 34,664,109,489
  5. Step 5: Solve for x
    x = 34,664,109,489/85,327.50
  6. Step 6: Final answer
    x = 406,247.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.