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Finding the Third Proportional to 149,262.75 and 321,625.69

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Solution

The third proportional to 149,262.75 and 321,625.69 is: 693,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.75 : 321,625.69 = 321,625.69 : x
  2. Step 2: Convert to fraction form
    149,262.75/321,625.69 = 321,625.69/x
  3. Step 3: Cross multiply
    149,262.75x = 321,625.69 × 321,625.69
  4. Step 4: Simplify right side
    149,262.75x = 103,443,082,859.85
  5. Step 5: Solve for x
    x = 103,443,082,859.85/149,262.75
  6. Step 6: Final answer
    x = 693,026.78

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