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Finding the Third Proportional to 154.41 and 233.16

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Solution

The third proportional to 154.41 and 233.16 is: 352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 233.16 = 233.16 : x
  2. Step 2: Convert to fraction form
    154.41/233.16 = 233.16/x
  3. Step 3: Cross multiply
    154.41x = 233.16 × 233.16
  4. Step 4: Simplify right side
    154.41x = 54,361.84
  5. Step 5: Solve for x
    x = 54,361.84/154.41
  6. Step 6: Final answer
    x = 352.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.