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Finding the Third Proportional to 116,846 and 253,375

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Solution

The third proportional to 116,846 and 253,375 is: 549,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,846 : 253,375 = 253,375 : x
  2. Step 2: Convert to fraction form
    116,846/253,375 = 253,375/x
  3. Step 3: Cross multiply
    116,846x = 253,375 × 253,375
  4. Step 4: Simplify right side
    116,846x = 64,198,890,625
  5. Step 5: Solve for x
    x = 64,198,890,625/116,846
  6. Step 6: Final answer
    x = 549,431.65

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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.