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Finding the Third Proportional to 129.56 and 279.31

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Solution

The third proportional to 129.56 and 279.31 is: 602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.56 : 279.31 = 279.31 : x
  2. Step 2: Convert to fraction form
    129.56/279.31 = 279.31/x
  3. Step 3: Cross multiply
    129.56x = 279.31 × 279.31
  4. Step 4: Simplify right side
    129.56x = 78,015.47
  5. Step 5: Solve for x
    x = 78,015.47/129.56
  6. Step 6: Final answer
    x = 602.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.