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Finding the Third Proportional to 120,771.75 and 262,299.75

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Solution

The third proportional to 120,771.75 and 262,299.75 is: 569,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771.75 : 262,299.75 = 262,299.75 : x
  2. Step 2: Convert to fraction form
    120,771.75/262,299.75 = 262,299.75/x
  3. Step 3: Cross multiply
    120,771.75x = 262,299.75 × 262,299.75
  4. Step 4: Simplify right side
    120,771.75x = 68,801,158,850.06
  5. Step 5: Solve for x
    x = 68,801,158,850.06/120,771.75
  6. Step 6: Final answer
    x = 569,679.24

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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.