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Finding the Third Proportional to 213,759 and 300,606.75

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Solution

The third proportional to 213,759 and 300,606.75 is: 422,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,759 : 300,606.75 = 300,606.75 : x
  2. Step 2: Convert to fraction form
    213,759/300,606.75 = 300,606.75/x
  3. Step 3: Cross multiply
    213,759x = 300,606.75 × 300,606.75
  4. Step 4: Simplify right side
    213,759x = 90,364,418,145.56
  5. Step 5: Solve for x
    x = 90,364,418,145.56/213,759
  6. Step 6: Final answer
    x = 422,739.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.