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Finding the Third Proportional to 170,772.75 and 263,859.75

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Solution

The third proportional to 170,772.75 and 263,859.75 is: 407,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,772.75 : 263,859.75 = 263,859.75 : x
  2. Step 2: Convert to fraction form
    170,772.75/263,859.75 = 263,859.75/x
  3. Step 3: Cross multiply
    170,772.75x = 263,859.75 × 263,859.75
  4. Step 4: Simplify right side
    170,772.75x = 69,621,967,670.06
  5. Step 5: Solve for x
    x = 69,621,967,670.06/170,772.75
  6. Step 6: Final answer
    x = 407,687.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.