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Finding the Third Proportional to 171,566.25 and 260,265.75

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Solution

The third proportional to 171,566.25 and 260,265.75 is: 394,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,566.25 : 260,265.75 = 260,265.75 : x
  2. Step 2: Convert to fraction form
    171,566.25/260,265.75 = 260,265.75/x
  3. Step 3: Cross multiply
    171,566.25x = 260,265.75 × 260,265.75
  4. Step 4: Simplify right side
    171,566.25x = 67,738,260,623.06
  5. Step 5: Solve for x
    x = 67,738,260,623.06/171,566.25
  6. Step 6: Final answer
    x = 394,822.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.