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Finding the Third Proportional to 174,969 and 262,591

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Solution

The third proportional to 174,969 and 262,591 is: 394,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 262,591 = 262,591 : x
  2. Step 2: Convert to fraction form
    174,969/262,591 = 262,591/x
  3. Step 3: Cross multiply
    174,969x = 262,591 × 262,591
  4. Step 4: Simplify right side
    174,969x = 68,954,033,281
  5. Step 5: Solve for x
    x = 68,954,033,281/174,969
  6. Step 6: Final answer
    x = 394,092.86

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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.