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Finding the Third Proportional to 85,848 and 184,944

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Solution

The third proportional to 85,848 and 184,944 is: 398,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848 : 184,944 = 184,944 : x
  2. Step 2: Convert to fraction form
    85,848/184,944 = 184,944/x
  3. Step 3: Cross multiply
    85,848x = 184,944 × 184,944
  4. Step 4: Simplify right side
    85,848x = 34,204,283,136
  5. Step 5: Solve for x
    x = 34,204,283,136/85,848
  6. Step 6: Final answer
    x = 398,428.42

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Why These Related Problems?

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