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Finding the Third Proportional to 140.69 and 286.97

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Solution

The third proportional to 140.69 and 286.97 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.69 : 286.97 = 286.97 : x
  2. Step 2: Convert to fraction form
    140.69/286.97 = 286.97/x
  3. Step 3: Cross multiply
    140.69x = 286.97 × 286.97
  4. Step 4: Simplify right side
    140.69x = 82,351.06
  5. Step 5: Solve for x
    x = 82,351.06/140.69
  6. Step 6: Final answer
    x = 585.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.