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Finding the Third Proportional to 138.50 and 254.50

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Solution

The third proportional to 138.50 and 254.50 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 254.50 = 254.50 : x
  2. Step 2: Convert to fraction form
    138.50/254.50 = 254.50/x
  3. Step 3: Cross multiply
    138.50x = 254.50 × 254.50
  4. Step 4: Simplify right side
    138.50x = 64,770.25
  5. Step 5: Solve for x
    x = 64,770.25/138.50
  6. Step 6: Final answer
    x = 467.66

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.