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Finding the Third Proportional to 104.65 and 246.68

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Solution

The third proportional to 104.65 and 246.68 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.65 : 246.68 = 246.68 : x
  2. Step 2: Convert to fraction form
    104.65/246.68 = 246.68/x
  3. Step 3: Cross multiply
    104.65x = 246.68 × 246.68
  4. Step 4: Simplify right side
    104.65x = 60,850.15
  5. Step 5: Solve for x
    x = 60,850.15/104.65
  6. Step 6: Final answer
    x = 581.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.