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Finding the Third Proportional to 198,756 and 297,348

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Solution

The third proportional to 198,756 and 297,348 is: 444,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,756 : 297,348 = 297,348 : x
  2. Step 2: Convert to fraction form
    198,756/297,348 = 297,348/x
  3. Step 3: Cross multiply
    198,756x = 297,348 × 297,348
  4. Step 4: Simplify right side
    198,756x = 88,415,833,104
  5. Step 5: Solve for x
    x = 88,415,833,104/198,756
  6. Step 6: Final answer
    x = 444,846.11

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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.