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Finding the Third Proportional to 174,970 and 262,593

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Solution

The third proportional to 174,970 and 262,593 is: 394,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,970 : 262,593 = 262,593 : x
  2. Step 2: Convert to fraction form
    174,970/262,593 = 262,593/x
  3. Step 3: Cross multiply
    174,970x = 262,593 × 262,593
  4. Step 4: Simplify right side
    174,970x = 68,955,083,649
  5. Step 5: Solve for x
    x = 68,955,083,649/174,970
  6. Step 6: Final answer
    x = 394,096.61

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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.