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Finding the Third Proportional to 198,575.50 and 303,059

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Solution

The third proportional to 198,575.50 and 303,059 is: 462,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,575.50 : 303,059 = 303,059 : x
  2. Step 2: Convert to fraction form
    198,575.50/303,059 = 303,059/x
  3. Step 3: Cross multiply
    198,575.50x = 303,059 × 303,059
  4. Step 4: Simplify right side
    198,575.50x = 91,844,757,481
  5. Step 5: Solve for x
    x = 91,844,757,481/198,575.50
  6. Step 6: Final answer
    x = 462,518.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.