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Finding the Third Proportional to 134.25 and 209.25

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Solution

The third proportional to 134.25 and 209.25 is: 326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 209.25 = 209.25 : x
  2. Step 2: Convert to fraction form
    134.25/209.25 = 209.25/x
  3. Step 3: Cross multiply
    134.25x = 209.25 × 209.25
  4. Step 4: Simplify right side
    134.25x = 43,785.56
  5. Step 5: Solve for x
    x = 43,785.56/134.25
  6. Step 6: Final answer
    x = 326.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.