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Finding the Third Proportional to 129 and 225.25

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Solution

The third proportional to 129 and 225.25 is: 393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 225.25 = 225.25 : x
  2. Step 2: Convert to fraction form
    129/225.25 = 225.25/x
  3. Step 3: Cross multiply
    129x = 225.25 × 225.25
  4. Step 4: Simplify right side
    129x = 50,737.56
  5. Step 5: Solve for x
    x = 50,737.56/129
  6. Step 6: Final answer
    x = 393.31

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.