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Finding the Third Proportional to 177,916 and 386,936

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Solution

The third proportional to 177,916 and 386,936 is: 841,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,916 : 386,936 = 386,936 : x
  2. Step 2: Convert to fraction form
    177,916/386,936 = 386,936/x
  3. Step 3: Cross multiply
    177,916x = 386,936 × 386,936
  4. Step 4: Simplify right side
    177,916x = 149,719,468,096
  5. Step 5: Solve for x
    x = 149,719,468,096/177,916
  6. Step 6: Final answer
    x = 841,517.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.