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Finding the Third Proportional to 198,598.50 and 303,093.56

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Solution

The third proportional to 198,598.50 and 303,093.56 is: 462,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.50 : 303,093.56 = 303,093.56 : x
  2. Step 2: Convert to fraction form
    198,598.50/303,093.56 = 303,093.56/x
  3. Step 3: Cross multiply
    198,598.50x = 303,093.56 × 303,093.56
  4. Step 4: Simplify right side
    198,598.50x = 91,865,707,628.94
  5. Step 5: Solve for x
    x = 91,865,707,628.94/198,598.50
  6. Step 6: Final answer
    x = 462,570.00

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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.