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Finding the Third Proportional to 152.72 and 226.13

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Solution

The third proportional to 152.72 and 226.13 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 226.13 = 226.13 : x
  2. Step 2: Convert to fraction form
    152.72/226.13 = 226.13/x
  3. Step 3: Cross multiply
    152.72x = 226.13 × 226.13
  4. Step 4: Simplify right side
    152.72x = 51,132.52
  5. Step 5: Solve for x
    x = 51,132.52/152.72
  6. Step 6: Final answer
    x = 334.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.