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Finding the Third Proportional to 197,464 and 297,941

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Solution

The third proportional to 197,464 and 297,941 is: 449,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,464 : 297,941 = 297,941 : x
  2. Step 2: Convert to fraction form
    197,464/297,941 = 297,941/x
  3. Step 3: Cross multiply
    197,464x = 297,941 × 297,941
  4. Step 4: Simplify right side
    197,464x = 88,768,839,481
  5. Step 5: Solve for x
    x = 88,768,839,481/197,464
  6. Step 6: Final answer
    x = 449,544.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.