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Finding the Third Proportional to 154.88 and 321.13

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Solution

The third proportional to 154.88 and 321.13 is: 665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.88 : 321.13 = 321.13 : x
  2. Step 2: Convert to fraction form
    154.88/321.13 = 321.13/x
  3. Step 3: Cross multiply
    154.88x = 321.13 × 321.13
  4. Step 4: Simplify right side
    154.88x = 103,121.27
  5. Step 5: Solve for x
    x = 103,121.27/154.88
  6. Step 6: Final answer
    x = 665.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.