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Finding the Third Proportional to 233.72 and 366.66

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Solution

The third proportional to 233.72 and 366.66 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 366.66 = 366.66 : x
  2. Step 2: Convert to fraction form
    233.72/366.66 = 366.66/x
  3. Step 3: Cross multiply
    233.72x = 366.66 × 366.66
  4. Step 4: Simplify right side
    233.72x = 134,436.81
  5. Step 5: Solve for x
    x = 134,436.81/233.72
  6. Step 6: Final answer
    x = 575.21

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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.