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Finding the Third Proportional to 154.20 and 337.29

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Solution

The third proportional to 154.20 and 337.29 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 337.29 = 337.29 : x
  2. Step 2: Convert to fraction form
    154.20/337.29 = 337.29/x
  3. Step 3: Cross multiply
    154.20x = 337.29 × 337.29
  4. Step 4: Simplify right side
    154.20x = 113,763.91
  5. Step 5: Solve for x
    x = 113,763.91/154.20
  6. Step 6: Final answer
    x = 737.79

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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.