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Finding the Third Proportional to 129.94 and 203.44

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Solution

The third proportional to 129.94 and 203.44 is: 318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.94 : 203.44 = 203.44 : x
  2. Step 2: Convert to fraction form
    129.94/203.44 = 203.44/x
  3. Step 3: Cross multiply
    129.94x = 203.44 × 203.44
  4. Step 4: Simplify right side
    129.94x = 41,386.82
  5. Step 5: Solve for x
    x = 41,386.82/129.94
  6. Step 6: Final answer
    x = 318.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.