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Finding the Third Proportional to 120,734.72 and 262,229.91

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Solution

The third proportional to 120,734.72 and 262,229.91 is: 569,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,734.72 : 262,229.91 = 262,229.91 : x
  2. Step 2: Convert to fraction form
    120,734.72/262,229.91 = 262,229.91/x
  3. Step 3: Cross multiply
    120,734.72x = 262,229.91 × 262,229.91
  4. Step 4: Simplify right side
    120,734.72x = 68,764,523,731.88
  5. Step 5: Solve for x
    x = 68,764,523,731.88/120,734.72
  6. Step 6: Final answer
    x = 569,550.54

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