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Finding the Third Proportional to 171,811 and 258,041

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Solution

The third proportional to 171,811 and 258,041 is: 387,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,811 : 258,041 = 258,041 : x
  2. Step 2: Convert to fraction form
    171,811/258,041 = 258,041/x
  3. Step 3: Cross multiply
    171,811x = 258,041 × 258,041
  4. Step 4: Simplify right side
    171,811x = 66,585,157,681
  5. Step 5: Solve for x
    x = 66,585,157,681/171,811
  6. Step 6: Final answer
    x = 387,548.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.