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Finding the Third Proportional to 198,774 and 308,124

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Solution

The third proportional to 198,774 and 308,124 is: 477,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 308,124 = 308,124 : x
  2. Step 2: Convert to fraction form
    198,774/308,124 = 308,124/x
  3. Step 3: Cross multiply
    198,774x = 308,124 × 308,124
  4. Step 4: Simplify right side
    198,774x = 94,940,399,376
  5. Step 5: Solve for x
    x = 94,940,399,376/198,774
  6. Step 6: Final answer
    x = 477,629.87

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