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Finding the Third Proportional to 297.42 and 336.23

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Solution

The third proportional to 297.42 and 336.23 is: 380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 336.23 = 336.23 : x
  2. Step 2: Convert to fraction form
    297.42/336.23 = 336.23/x
  3. Step 3: Cross multiply
    297.42x = 336.23 × 336.23
  4. Step 4: Simplify right side
    297.42x = 113,053.55
  5. Step 5: Solve for x
    x = 113,053.55/297.42
  6. Step 6: Final answer
    x = 380.11

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.