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Finding the Third Proportional to 106.97 and 246.19

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Solution

The third proportional to 106.97 and 246.19 is: 566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 246.19 = 246.19 : x
  2. Step 2: Convert to fraction form
    106.97/246.19 = 246.19/x
  3. Step 3: Cross multiply
    106.97x = 246.19 × 246.19
  4. Step 4: Simplify right side
    106.97x = 60,608.29
  5. Step 5: Solve for x
    x = 60,608.29/106.97
  6. Step 6: Final answer
    x = 566.60

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.