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Finding the Third Proportional to 198,345 and 297,949

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Solution

The third proportional to 198,345 and 297,949 is: 447,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,345 : 297,949 = 297,949 : x
  2. Step 2: Convert to fraction form
    198,345/297,949 = 297,949/x
  3. Step 3: Cross multiply
    198,345x = 297,949 × 297,949
  4. Step 4: Simplify right side
    198,345x = 88,773,606,601
  5. Step 5: Solve for x
    x = 88,773,606,601/198,345
  6. Step 6: Final answer
    x = 447,571.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.