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Finding the Third Proportional to 171,704.25 and 262,660.50

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Solution

The third proportional to 171,704.25 and 262,660.50 is: 401,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,704.25 : 262,660.50 = 262,660.50 : x
  2. Step 2: Convert to fraction form
    171,704.25/262,660.50 = 262,660.50/x
  3. Step 3: Cross multiply
    171,704.25x = 262,660.50 × 262,660.50
  4. Step 4: Simplify right side
    171,704.25x = 68,990,538,260.25
  5. Step 5: Solve for x
    x = 68,990,538,260.25/171,704.25
  6. Step 6: Final answer
    x = 401,798.66

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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.