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Finding the Third Proportional to 174,997.50 and 262,635

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Solution

The third proportional to 174,997.50 and 262,635 is: 394,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997.50 : 262,635 = 262,635 : x
  2. Step 2: Convert to fraction form
    174,997.50/262,635 = 262,635/x
  3. Step 3: Cross multiply
    174,997.50x = 262,635 × 262,635
  4. Step 4: Simplify right side
    174,997.50x = 68,977,143,225
  5. Step 5: Solve for x
    x = 68,977,143,225/174,997.50
  6. Step 6: Final answer
    x = 394,160.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.