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Finding the Third Proportional to 181,238.75 and 388,717

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Solution

The third proportional to 181,238.75 and 388,717 is: 833,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,238.75 : 388,717 = 388,717 : x
  2. Step 2: Convert to fraction form
    181,238.75/388,717 = 388,717/x
  3. Step 3: Cross multiply
    181,238.75x = 388,717 × 388,717
  4. Step 4: Simplify right side
    181,238.75x = 151,100,906,089
  5. Step 5: Solve for x
    x = 151,100,906,089/181,238.75
  6. Step 6: Final answer
    x = 833,711.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.