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Finding the Third Proportional to 196,790 and 297,531

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Solution

The third proportional to 196,790 and 297,531 is: 449,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,790 : 297,531 = 297,531 : x
  2. Step 2: Convert to fraction form
    196,790/297,531 = 297,531/x
  3. Step 3: Cross multiply
    196,790x = 297,531 × 297,531
  4. Step 4: Simplify right side
    196,790x = 88,524,695,961
  5. Step 5: Solve for x
    x = 88,524,695,961/196,790
  6. Step 6: Final answer
    x = 449,843.47

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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.