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Finding the Third Proportional to 297.42 and 351.21

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Solution

The third proportional to 297.42 and 351.21 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 351.21 = 351.21 : x
  2. Step 2: Convert to fraction form
    297.42/351.21 = 351.21/x
  3. Step 3: Cross multiply
    297.42x = 351.21 × 351.21
  4. Step 4: Simplify right side
    297.42x = 123,349.12
  5. Step 5: Solve for x
    x = 123,349.12/297.42
  6. Step 6: Final answer
    x = 414.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.