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Finding the Third Proportional to 192,530 and 297,539

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Solution

The third proportional to 192,530 and 297,539 is: 459,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,530 : 297,539 = 297,539 : x
  2. Step 2: Convert to fraction form
    192,530/297,539 = 297,539/x
  3. Step 3: Cross multiply
    192,530x = 297,539 × 297,539
  4. Step 4: Simplify right side
    192,530x = 88,529,456,521
  5. Step 5: Solve for x
    x = 88,529,456,521/192,530
  6. Step 6: Final answer
    x = 459,821.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.