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Finding the Third Proportional to 155,910 and 251,093

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Solution

The third proportional to 155,910 and 251,093 is: 404,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,910 : 251,093 = 251,093 : x
  2. Step 2: Convert to fraction form
    155,910/251,093 = 251,093/x
  3. Step 3: Cross multiply
    155,910x = 251,093 × 251,093
  4. Step 4: Simplify right side
    155,910x = 63,047,694,649
  5. Step 5: Solve for x
    x = 63,047,694,649/155,910
  6. Step 6: Final answer
    x = 404,385.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.