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Finding the Third Proportional to 215,422 and 301,866

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Solution

The third proportional to 215,422 and 301,866 is: 422,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,422 : 301,866 = 301,866 : x
  2. Step 2: Convert to fraction form
    215,422/301,866 = 301,866/x
  3. Step 3: Cross multiply
    215,422x = 301,866 × 301,866
  4. Step 4: Simplify right side
    215,422x = 91,123,081,956
  5. Step 5: Solve for x
    x = 91,123,081,956/215,422
  6. Step 6: Final answer
    x = 422,998.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.