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Finding the Third Proportional to 155.67 and 341.24

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Solution

The third proportional to 155.67 and 341.24 is: 748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.67 : 341.24 = 341.24 : x
  2. Step 2: Convert to fraction form
    155.67/341.24 = 341.24/x
  3. Step 3: Cross multiply
    155.67x = 341.24 × 341.24
  4. Step 4: Simplify right side
    155.67x = 116,447.56
  5. Step 5: Solve for x
    x = 116,447.56/155.67
  6. Step 6: Final answer
    x = 748.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.