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Finding the Third Proportional to 196,872 and 297,660

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Solution

The third proportional to 196,872 and 297,660 is: 450,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,872 : 297,660 = 297,660 : x
  2. Step 2: Convert to fraction form
    196,872/297,660 = 297,660/x
  3. Step 3: Cross multiply
    196,872x = 297,660 × 297,660
  4. Step 4: Simplify right side
    196,872x = 88,601,475,600
  5. Step 5: Solve for x
    x = 88,601,475,600/196,872
  6. Step 6: Final answer
    x = 450,046.10

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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.