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Finding the Third Proportional to 233.53 and 366.39

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Solution

The third proportional to 233.53 and 366.39 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 366.39 = 366.39 : x
  2. Step 2: Convert to fraction form
    233.53/366.39 = 366.39/x
  3. Step 3: Cross multiply
    233.53x = 366.39 × 366.39
  4. Step 4: Simplify right side
    233.53x = 134,238.15
  5. Step 5: Solve for x
    x = 134,238.15/233.53
  6. Step 6: Final answer
    x = 574.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.