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Finding the Third Proportional to 129 and 205.69

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Solution

The third proportional to 129 and 205.69 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 205.69 = 205.69 : x
  2. Step 2: Convert to fraction form
    129/205.69 = 205.69/x
  3. Step 3: Cross multiply
    129x = 205.69 × 205.69
  4. Step 4: Simplify right side
    129x = 42,307.35
  5. Step 5: Solve for x
    x = 42,307.35/129
  6. Step 6: Final answer
    x = 327.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.