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Finding the Third Proportional to 152.81 and 233.44

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Solution

The third proportional to 152.81 and 233.44 is: 356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 233.44 = 233.44 : x
  2. Step 2: Convert to fraction form
    152.81/233.44 = 233.44/x
  3. Step 3: Cross multiply
    152.81x = 233.44 × 233.44
  4. Step 4: Simplify right side
    152.81x = 54,493.07
  5. Step 5: Solve for x
    x = 54,493.07/152.81
  6. Step 6: Final answer
    x = 356.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.