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Finding the Third Proportional to 129.09 and 276.96

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Solution

The third proportional to 129.09 and 276.96 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.09 : 276.96 = 276.96 : x
  2. Step 2: Convert to fraction form
    129.09/276.96 = 276.96/x
  3. Step 3: Cross multiply
    129.09x = 276.96 × 276.96
  4. Step 4: Simplify right side
    129.09x = 76,707.36
  5. Step 5: Solve for x
    x = 76,707.36/129.09
  6. Step 6: Final answer
    x = 594.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.