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Finding the Third Proportional to 133.10 and 286.24

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Solution

The third proportional to 133.10 and 286.24 is: 615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 286.24 = 286.24 : x
  2. Step 2: Convert to fraction form
    133.10/286.24 = 286.24/x
  3. Step 3: Cross multiply
    133.10x = 286.24 × 286.24
  4. Step 4: Simplify right side
    133.10x = 81,934.59
  5. Step 5: Solve for x
    x = 81,934.59/133.10
  6. Step 6: Final answer
    x = 615.58

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Why These Related Problems?

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