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Finding the Third Proportional to 229.50 and 326.81

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Solution

The third proportional to 229.50 and 326.81 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 326.81 = 326.81 : x
  2. Step 2: Convert to fraction form
    229.50/326.81 = 326.81/x
  3. Step 3: Cross multiply
    229.50x = 326.81 × 326.81
  4. Step 4: Simplify right side
    229.50x = 106,806.41
  5. Step 5: Solve for x
    x = 106,806.41/229.50
  6. Step 6: Final answer
    x = 465.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.