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Finding the Third Proportional to 69.29 and 143.33

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Solution

The third proportional to 69.29 and 143.33 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 143.33 = 143.33 : x
  2. Step 2: Convert to fraction form
    69.29/143.33 = 143.33/x
  3. Step 3: Cross multiply
    69.29x = 143.33 × 143.33
  4. Step 4: Simplify right side
    69.29x = 20,544.07
  5. Step 5: Solve for x
    x = 20,544.07/69.29
  6. Step 6: Final answer
    x = 296.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.