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Finding the Third Proportional to 246.88 and 336.19

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Solution

The third proportional to 246.88 and 336.19 is: 457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 336.19 = 336.19 : x
  2. Step 2: Convert to fraction form
    246.88/336.19 = 336.19/x
  3. Step 3: Cross multiply
    246.88x = 336.19 × 336.19
  4. Step 4: Simplify right side
    246.88x = 113,022.04
  5. Step 5: Solve for x
    x = 113,022.04/246.88
  6. Step 6: Final answer
    x = 457.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.