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Finding the Third Proportional to 134.69 and 203.88

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Solution

The third proportional to 134.69 and 203.88 is: 308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.69 : 203.88 = 203.88 : x
  2. Step 2: Convert to fraction form
    134.69/203.88 = 203.88/x
  3. Step 3: Cross multiply
    134.69x = 203.88 × 203.88
  4. Step 4: Simplify right side
    134.69x = 41,565.02
  5. Step 5: Solve for x
    x = 41,565.02/134.69
  6. Step 6: Final answer
    x = 308.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.