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Finding the Third Proportional to 152.16 and 226.59

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Solution

The third proportional to 152.16 and 226.59 is: 337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 226.59 = 226.59 : x
  2. Step 2: Convert to fraction form
    152.16/226.59 = 226.59/x
  3. Step 3: Cross multiply
    152.16x = 226.59 × 226.59
  4. Step 4: Simplify right side
    152.16x = 51,344.73
  5. Step 5: Solve for x
    x = 51,344.73/152.16
  6. Step 6: Final answer
    x = 337.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.