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Finding the Third Proportional to 192,192.75 and 459,024.75

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Solution

The third proportional to 192,192.75 and 459,024.75 is: 1,096,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192.75 : 459,024.75 = 459,024.75 : x
  2. Step 2: Convert to fraction form
    192,192.75/459,024.75 = 459,024.75/x
  3. Step 3: Cross multiply
    192,192.75x = 459,024.75 × 459,024.75
  4. Step 4: Simplify right side
    192,192.75x = 210,703,721,112.56
  5. Step 5: Solve for x
    x = 210,703,721,112.56/192,192.75
  6. Step 6: Final answer
    x = 1,096,314.62

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.