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Finding the Third Proportional to 155.43 and 171.57

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Solution

The third proportional to 155.43 and 171.57 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.43 : 171.57 = 171.57 : x
  2. Step 2: Convert to fraction form
    155.43/171.57 = 171.57/x
  3. Step 3: Cross multiply
    155.43x = 171.57 × 171.57
  4. Step 4: Simplify right side
    155.43x = 29,436.71
  5. Step 5: Solve for x
    x = 29,436.71/155.43
  6. Step 6: Final answer
    x = 189.38

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.