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Finding the Third Proportional to 177,936 and 386,848

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Solution

The third proportional to 177,936 and 386,848 is: 841,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,936 : 386,848 = 386,848 : x
  2. Step 2: Convert to fraction form
    177,936/386,848 = 386,848/x
  3. Step 3: Cross multiply
    177,936x = 386,848 × 386,848
  4. Step 4: Simplify right side
    177,936x = 149,651,375,104
  5. Step 5: Solve for x
    x = 149,651,375,104/177,936
  6. Step 6: Final answer
    x = 841,040.46

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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.