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Finding the Third Proportional to 198,966 and 308,535

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Solution

The third proportional to 198,966 and 308,535 is: 478,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,966 : 308,535 = 308,535 : x
  2. Step 2: Convert to fraction form
    198,966/308,535 = 308,535/x
  3. Step 3: Cross multiply
    198,966x = 308,535 × 308,535
  4. Step 4: Simplify right side
    198,966x = 95,193,846,225
  5. Step 5: Solve for x
    x = 95,193,846,225/198,966
  6. Step 6: Final answer
    x = 478,442.78

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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.