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Finding the Third Proportional to 129.94 and 286.45

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Solution

The third proportional to 129.94 and 286.45 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.94 : 286.45 = 286.45 : x
  2. Step 2: Convert to fraction form
    129.94/286.45 = 286.45/x
  3. Step 3: Cross multiply
    129.94x = 286.45 × 286.45
  4. Step 4: Simplify right side
    129.94x = 82,055.39
  5. Step 5: Solve for x
    x = 82,055.39/129.94
  6. Step 6: Final answer
    x = 631.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.