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Finding the Third Proportional to 106.59 and 246.23

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Solution

The third proportional to 106.59 and 246.23 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 246.23 = 246.23 : x
  2. Step 2: Convert to fraction form
    106.59/246.23 = 246.23/x
  3. Step 3: Cross multiply
    106.59x = 246.23 × 246.23
  4. Step 4: Simplify right side
    106.59x = 60,631.37
  5. Step 5: Solve for x
    x = 60,631.37/106.59
  6. Step 6: Final answer
    x = 568.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.