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Finding the Third Proportional to 186,978 and 400,227

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Solution

The third proportional to 186,978 and 400,227 is: 856,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978 : 400,227 = 400,227 : x
  2. Step 2: Convert to fraction form
    186,978/400,227 = 400,227/x
  3. Step 3: Cross multiply
    186,978x = 400,227 × 400,227
  4. Step 4: Simplify right side
    186,978x = 160,181,651,529
  5. Step 5: Solve for x
    x = 160,181,651,529/186,978
  6. Step 6: Final answer
    x = 856,687.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.