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Finding the Third Proportional to 95,234.50 and 207,401

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Solution

The third proportional to 95,234.50 and 207,401 is: 451,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,234.50 : 207,401 = 207,401 : x
  2. Step 2: Convert to fraction form
    95,234.50/207,401 = 207,401/x
  3. Step 3: Cross multiply
    95,234.50x = 207,401 × 207,401
  4. Step 4: Simplify right side
    95,234.50x = 43,015,174,801
  5. Step 5: Solve for x
    x = 43,015,174,801/95,234.50
  6. Step 6: Final answer
    x = 451,676.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.