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Finding the Third Proportional to 177,670 and 381,692

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Solution

The third proportional to 177,670 and 381,692 is: 819,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,670 : 381,692 = 381,692 : x
  2. Step 2: Convert to fraction form
    177,670/381,692 = 381,692/x
  3. Step 3: Cross multiply
    177,670x = 381,692 × 381,692
  4. Step 4: Simplify right side
    177,670x = 145,688,782,864
  5. Step 5: Solve for x
    x = 145,688,782,864/177,670
  6. Step 6: Final answer
    x = 819,996.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.