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Finding the Third Proportional to 120,734.93 and 262,229.27

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Solution

The third proportional to 120,734.93 and 262,229.27 is: 569,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,734.93 : 262,229.27 = 262,229.27 : x
  2. Step 2: Convert to fraction form
    120,734.93/262,229.27 = 262,229.27/x
  3. Step 3: Cross multiply
    120,734.93x = 262,229.27 × 262,229.27
  4. Step 4: Simplify right side
    120,734.93x = 68,764,191,847.56
  5. Step 5: Solve for x
    x = 68,764,191,847.56/120,734.93
  6. Step 6: Final answer
    x = 569,546.79

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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.