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Finding the Third Proportional to 233.69 and 366.64

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Solution

The third proportional to 233.69 and 366.64 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 366.64 = 366.64 : x
  2. Step 2: Convert to fraction form
    233.69/366.64 = 366.64/x
  3. Step 3: Cross multiply
    233.69x = 366.64 × 366.64
  4. Step 4: Simplify right side
    233.69x = 134,421.77
  5. Step 5: Solve for x
    x = 134,421.77/233.69
  6. Step 6: Final answer
    x = 575.22

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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.