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Finding the Third Proportional to 198,664.50 and 431,191.50

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Solution

The third proportional to 198,664.50 and 431,191.50 is: 935,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,664.50 : 431,191.50 = 431,191.50 : x
  2. Step 2: Convert to fraction form
    198,664.50/431,191.50 = 431,191.50/x
  3. Step 3: Cross multiply
    198,664.50x = 431,191.50 × 431,191.50
  4. Step 4: Simplify right side
    198,664.50x = 185,926,109,672.25
  5. Step 5: Solve for x
    x = 185,926,109,672.25/198,664.50
  6. Step 6: Final answer
    x = 935,879.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.