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Finding the Third Proportional to 106.73 and 249.40

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Solution

The third proportional to 106.73 and 249.40 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 249.40 = 249.40 : x
  2. Step 2: Convert to fraction form
    106.73/249.40 = 249.40/x
  3. Step 3: Cross multiply
    106.73x = 249.40 × 249.40
  4. Step 4: Simplify right side
    106.73x = 62,199.58
  5. Step 5: Solve for x
    x = 62,199.58/106.73
  6. Step 6: Final answer
    x = 582.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.