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Finding the Third Proportional to 150,864.75 and 323,635.50

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Solution

The third proportional to 150,864.75 and 323,635.50 is: 694,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864.75 : 323,635.50 = 323,635.50 : x
  2. Step 2: Convert to fraction form
    150,864.75/323,635.50 = 323,635.50/x
  3. Step 3: Cross multiply
    150,864.75x = 323,635.50 × 323,635.50
  4. Step 4: Simplify right side
    150,864.75x = 104,739,936,860.25
  5. Step 5: Solve for x
    x = 104,739,936,860.25/150,864.75
  6. Step 6: Final answer
    x = 694,263.81

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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.