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Finding the Third Proportional to 174,812 and 262,122

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Solution

The third proportional to 174,812 and 262,122 is: 393,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,812 : 262,122 = 262,122 : x
  2. Step 2: Convert to fraction form
    174,812/262,122 = 262,122/x
  3. Step 3: Cross multiply
    174,812x = 262,122 × 262,122
  4. Step 4: Simplify right side
    174,812x = 68,707,942,884
  5. Step 5: Solve for x
    x = 68,707,942,884/174,812
  6. Step 6: Final answer
    x = 393,039.05

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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.