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Finding the Third Proportional to 213,767.44 and 300,660.19

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Solution

The third proportional to 213,767.44 and 300,660.19 is: 422,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,767.44 : 300,660.19 = 300,660.19 : x
  2. Step 2: Convert to fraction form
    213,767.44/300,660.19 = 300,660.19/x
  3. Step 3: Cross multiply
    213,767.44x = 300,660.19 × 300,660.19
  4. Step 4: Simplify right side
    213,767.44x = 90,396,548,347.54
  5. Step 5: Solve for x
    x = 90,396,548,347.54/213,767.44
  6. Step 6: Final answer
    x = 422,873.33

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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.