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Finding the Third Proportional to 171,729.75 and 262,707.75

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Solution

The third proportional to 171,729.75 and 262,707.75 is: 401,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,729.75 : 262,707.75 = 262,707.75 : x
  2. Step 2: Convert to fraction form
    171,729.75/262,707.75 = 262,707.75/x
  3. Step 3: Cross multiply
    171,729.75x = 262,707.75 × 262,707.75
  4. Step 4: Simplify right side
    171,729.75x = 69,015,361,910.06
  5. Step 5: Solve for x
    x = 69,015,361,910.06/171,729.75
  6. Step 6: Final answer
    x = 401,883.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.