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Finding the Third Proportional to 120,774 and 262,325

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Solution

The third proportional to 120,774 and 262,325 is: 569,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,774 : 262,325 = 262,325 : x
  2. Step 2: Convert to fraction form
    120,774/262,325 = 262,325/x
  3. Step 3: Cross multiply
    120,774x = 262,325 × 262,325
  4. Step 4: Simplify right side
    120,774x = 68,814,405,625
  5. Step 5: Solve for x
    x = 68,814,405,625/120,774
  6. Step 6: Final answer
    x = 569,778.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.