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Finding the Third Proportional to 196,936 and 297,734

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Solution

The third proportional to 196,936 and 297,734 is: 450,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,936 : 297,734 = 297,734 : x
  2. Step 2: Convert to fraction form
    196,936/297,734 = 297,734/x
  3. Step 3: Cross multiply
    196,936x = 297,734 × 297,734
  4. Step 4: Simplify right side
    196,936x = 88,645,534,756
  5. Step 5: Solve for x
    x = 88,645,534,756/196,936
  6. Step 6: Final answer
    x = 450,123.57

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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.