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Finding the Third Proportional to 154.97 and 213.33

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Solution

The third proportional to 154.97 and 213.33 is: 293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 213.33 = 213.33 : x
  2. Step 2: Convert to fraction form
    154.97/213.33 = 213.33/x
  3. Step 3: Cross multiply
    154.97x = 213.33 × 213.33
  4. Step 4: Simplify right side
    154.97x = 45,508.89
  5. Step 5: Solve for x
    x = 45,508.89/154.97
  6. Step 6: Final answer
    x = 293.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.