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Finding the Third Proportional to 174,883 and 262,325

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Solution

The third proportional to 174,883 and 262,325 is: 393,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,883 : 262,325 = 262,325 : x
  2. Step 2: Convert to fraction form
    174,883/262,325 = 262,325/x
  3. Step 3: Cross multiply
    174,883x = 262,325 × 262,325
  4. Step 4: Simplify right side
    174,883x = 68,814,405,625
  5. Step 5: Solve for x
    x = 68,814,405,625/174,883
  6. Step 6: Final answer
    x = 393,488.25

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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.