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Finding the Third Proportional to 163.94 and 237.47

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Solution

The third proportional to 163.94 and 237.47 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.94 : 237.47 = 237.47 : x
  2. Step 2: Convert to fraction form
    163.94/237.47 = 237.47/x
  3. Step 3: Cross multiply
    163.94x = 237.47 × 237.47
  4. Step 4: Simplify right side
    163.94x = 56,391.41
  5. Step 5: Solve for x
    x = 56,391.41/163.94
  6. Step 6: Final answer
    x = 343.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.