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Finding the Third Proportional to 155.67 and 232.56

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Solution

The third proportional to 155.67 and 232.56 is: 347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.67 : 232.56 = 232.56 : x
  2. Step 2: Convert to fraction form
    155.67/232.56 = 232.56/x
  3. Step 3: Cross multiply
    155.67x = 232.56 × 232.56
  4. Step 4: Simplify right side
    155.67x = 54,083.50
  5. Step 5: Solve for x
    x = 54,083.50/155.67
  6. Step 6: Final answer
    x = 347.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.