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Finding the Third Proportional to 177,790.50 and 388,791

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Solution

The third proportional to 177,790.50 and 388,791 is: 850,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,790.50 : 388,791 = 388,791 : x
  2. Step 2: Convert to fraction form
    177,790.50/388,791 = 388,791/x
  3. Step 3: Cross multiply
    177,790.50x = 388,791 × 388,791
  4. Step 4: Simplify right side
    177,790.50x = 151,158,441,681
  5. Step 5: Solve for x
    x = 151,158,441,681/177,790.50
  6. Step 6: Final answer
    x = 850,205.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.