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Finding the Third Proportional to 170.94 and 250.72

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Solution

The third proportional to 170.94 and 250.72 is: 367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 250.72 = 250.72 : x
  2. Step 2: Convert to fraction form
    170.94/250.72 = 250.72/x
  3. Step 3: Cross multiply
    170.94x = 250.72 × 250.72
  4. Step 4: Simplify right side
    170.94x = 62,859.89
  5. Step 5: Solve for x
    x = 62,859.89/170.94
  6. Step 6: Final answer
    x = 367.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.