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Finding the Third Proportional to 198,660.75 and 434,862.75

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Solution

The third proportional to 198,660.75 and 434,862.75 is: 951,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,660.75 : 434,862.75 = 434,862.75 : x
  2. Step 2: Convert to fraction form
    198,660.75/434,862.75 = 434,862.75/x
  3. Step 3: Cross multiply
    198,660.75x = 434,862.75 × 434,862.75
  4. Step 4: Simplify right side
    198,660.75x = 189,105,611,337.56
  5. Step 5: Solve for x
    x = 189,105,611,337.56/198,660.75
  6. Step 6: Final answer
    x = 951,902.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.