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Finding the Third Proportional to 140.06 and 286.52

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Solution

The third proportional to 140.06 and 286.52 is: 586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 286.52 = 286.52 : x
  2. Step 2: Convert to fraction form
    140.06/286.52 = 286.52/x
  3. Step 3: Cross multiply
    140.06x = 286.52 × 286.52
  4. Step 4: Simplify right side
    140.06x = 82,095.68
  5. Step 5: Solve for x
    x = 82,095.68/140.06
  6. Step 6: Final answer
    x = 586.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.