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Finding the Third Proportional to 82,847 and 178,927

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Solution

The third proportional to 82,847 and 178,927 is: 386,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847 : 178,927 = 178,927 : x
  2. Step 2: Convert to fraction form
    82,847/178,927 = 178,927/x
  3. Step 3: Cross multiply
    82,847x = 178,927 × 178,927
  4. Step 4: Simplify right side
    82,847x = 32,014,871,329
  5. Step 5: Solve for x
    x = 32,014,871,329/82,847
  6. Step 6: Final answer
    x = 386,433.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.