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Finding the Third Proportional to 109,508 and 235,375

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Solution

The third proportional to 109,508 and 235,375 is: 505,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,508 : 235,375 = 235,375 : x
  2. Step 2: Convert to fraction form
    109,508/235,375 = 235,375/x
  3. Step 3: Cross multiply
    109,508x = 235,375 × 235,375
  4. Step 4: Simplify right side
    109,508x = 55,401,390,625
  5. Step 5: Solve for x
    x = 55,401,390,625/109,508
  6. Step 6: Final answer
    x = 505,911.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.