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Finding the Third Proportional to 209.06 and 282.94

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Solution

The third proportional to 209.06 and 282.94 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.06 : 282.94 = 282.94 : x
  2. Step 2: Convert to fraction form
    209.06/282.94 = 282.94/x
  3. Step 3: Cross multiply
    209.06x = 282.94 × 282.94
  4. Step 4: Simplify right side
    209.06x = 80,053.63
  5. Step 5: Solve for x
    x = 80,053.63/209.06
  6. Step 6: Final answer
    x = 382.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.