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Finding the Third Proportional to 152.58 and 226.02

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Solution

The third proportional to 152.58 and 226.02 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 226.02 = 226.02 : x
  2. Step 2: Convert to fraction form
    152.58/226.02 = 226.02/x
  3. Step 3: Cross multiply
    152.58x = 226.02 × 226.02
  4. Step 4: Simplify right side
    152.58x = 51,084.83
  5. Step 5: Solve for x
    x = 51,084.83/152.58
  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.