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Finding the Third Proportional to 116,847 and 253,377

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Solution

The third proportional to 116,847 and 253,377 is: 549,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,847 : 253,377 = 253,377 : x
  2. Step 2: Convert to fraction form
    116,847/253,377 = 253,377/x
  3. Step 3: Cross multiply
    116,847x = 253,377 × 253,377
  4. Step 4: Simplify right side
    116,847x = 64,199,904,129
  5. Step 5: Solve for x
    x = 64,199,904,129/116,847
  6. Step 6: Final answer
    x = 549,435.62

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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.