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Finding the Third Proportional to 129.50 and 234.25

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Solution

The third proportional to 129.50 and 234.25 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.50 : 234.25 = 234.25 : x
  2. Step 2: Convert to fraction form
    129.50/234.25 = 234.25/x
  3. Step 3: Cross multiply
    129.50x = 234.25 × 234.25
  4. Step 4: Simplify right side
    129.50x = 54,873.06
  5. Step 5: Solve for x
    x = 54,873.06/129.50
  6. Step 6: Final answer
    x = 423.73

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.