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Finding the Third Proportional to 171,022.50 and 257,559.75

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Solution

The third proportional to 171,022.50 and 257,559.75 is: 387,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022.50 : 257,559.75 = 257,559.75 : x
  2. Step 2: Convert to fraction form
    171,022.50/257,559.75 = 257,559.75/x
  3. Step 3: Cross multiply
    171,022.50x = 257,559.75 × 257,559.75
  4. Step 4: Simplify right side
    171,022.50x = 66,337,024,820.06
  5. Step 5: Solve for x
    x = 66,337,024,820.06/171,022.50
  6. Step 6: Final answer
    x = 387,884.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.