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Finding the Third Proportional to 297.42 and 364.92

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Solution

The third proportional to 297.42 and 364.92 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 364.92 = 364.92 : x
  2. Step 2: Convert to fraction form
    297.42/364.92 = 364.92/x
  3. Step 3: Cross multiply
    297.42x = 364.92 × 364.92
  4. Step 4: Simplify right side
    297.42x = 133,167.97
  5. Step 5: Solve for x
    x = 133,167.97/297.42
  6. Step 6: Final answer
    x = 447.74

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.