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Finding the Third Proportional to 85,847 and 185,244

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Solution

The third proportional to 85,847 and 185,244 is: 399,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847 : 185,244 = 185,244 : x
  2. Step 2: Convert to fraction form
    85,847/185,244 = 185,244/x
  3. Step 3: Cross multiply
    85,847x = 185,244 × 185,244
  4. Step 4: Simplify right side
    85,847x = 34,315,339,536
  5. Step 5: Solve for x
    x = 34,315,339,536/85,847
  6. Step 6: Final answer
    x = 399,726.72

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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.