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Finding the Third Proportional to 154.69 and 336.94

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Solution

The third proportional to 154.69 and 336.94 is: 733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.69 : 336.94 = 336.94 : x
  2. Step 2: Convert to fraction form
    154.69/336.94 = 336.94/x
  3. Step 3: Cross multiply
    154.69x = 336.94 × 336.94
  4. Step 4: Simplify right side
    154.69x = 113,526.88
  5. Step 5: Solve for x
    x = 113,526.88/154.69
  6. Step 6: Final answer
    x = 733.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.