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Finding the Third Proportional to 198,502.50 and 431,994

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Solution

The third proportional to 198,502.50 and 431,994 is: 940,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502.50 : 431,994 = 431,994 : x
  2. Step 2: Convert to fraction form
    198,502.50/431,994 = 431,994/x
  3. Step 3: Cross multiply
    198,502.50x = 431,994 × 431,994
  4. Step 4: Simplify right side
    198,502.50x = 186,618,816,036
  5. Step 5: Solve for x
    x = 186,618,816,036/198,502.50
  6. Step 6: Final answer
    x = 940,133.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.