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Finding the Third Proportional to 171.70 and 233.93

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Solution

The third proportional to 171.70 and 233.93 is: 318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.70 : 233.93 = 233.93 : x
  2. Step 2: Convert to fraction form
    171.70/233.93 = 233.93/x
  3. Step 3: Cross multiply
    171.70x = 233.93 × 233.93
  4. Step 4: Simplify right side
    171.70x = 54,723.10
  5. Step 5: Solve for x
    x = 54,723.10/171.70
  6. Step 6: Final answer
    x = 318.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.