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Finding the Third Proportional to 146.88 and 193.19

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Solution

The third proportional to 146.88 and 193.19 is: 254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 193.19 = 193.19 : x
  2. Step 2: Convert to fraction form
    146.88/193.19 = 193.19/x
  3. Step 3: Cross multiply
    146.88x = 193.19 × 193.19
  4. Step 4: Simplify right side
    146.88x = 37,321.41
  5. Step 5: Solve for x
    x = 37,321.41/146.88
  6. Step 6: Final answer
    x = 254.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.