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Finding the Third Proportional to 154.80 and 226.71

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Solution

The third proportional to 154.80 and 226.71 is: 332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 226.71 = 226.71 : x
  2. Step 2: Convert to fraction form
    154.80/226.71 = 226.71/x
  3. Step 3: Cross multiply
    154.80x = 226.71 × 226.71
  4. Step 4: Simplify right side
    154.80x = 51,395.19
  5. Step 5: Solve for x
    x = 51,395.19/154.80
  6. Step 6: Final answer
    x = 332.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.