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Finding the Third Proportional to 192,504 and 297,508

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Solution

The third proportional to 192,504 and 297,508 is: 459,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,504 : 297,508 = 297,508 : x
  2. Step 2: Convert to fraction form
    192,504/297,508 = 297,508/x
  3. Step 3: Cross multiply
    192,504x = 297,508 × 297,508
  4. Step 4: Simplify right side
    192,504x = 88,511,010,064
  5. Step 5: Solve for x
    x = 88,511,010,064/192,504
  6. Step 6: Final answer
    x = 459,787.90

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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.