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Finding the Third Proportional to 168,744.94 and 270,924.75

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Solution

The third proportional to 168,744.94 and 270,924.75 is: 434,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,744.94 : 270,924.75 = 270,924.75 : x
  2. Step 2: Convert to fraction form
    168,744.94/270,924.75 = 270,924.75/x
  3. Step 3: Cross multiply
    168,744.94x = 270,924.75 × 270,924.75
  4. Step 4: Simplify right side
    168,744.94x = 73,400,220,162.56
  5. Step 5: Solve for x
    x = 73,400,220,162.56/168,744.94
  6. Step 6: Final answer
    x = 434,977.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.