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Finding the Third Proportional to 198,374 and 297,994

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Solution

The third proportional to 198,374 and 297,994 is: 447,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,374 : 297,994 = 297,994 : x
  2. Step 2: Convert to fraction form
    198,374/297,994 = 297,994/x
  3. Step 3: Cross multiply
    198,374x = 297,994 × 297,994
  4. Step 4: Simplify right side
    198,374x = 88,800,424,036
  5. Step 5: Solve for x
    x = 88,800,424,036/198,374
  6. Step 6: Final answer
    x = 447,641.45

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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.