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Finding the Third Proportional to 120,736.50 and 262,230

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Solution

The third proportional to 120,736.50 and 262,230 is: 569,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736.50 : 262,230 = 262,230 : x
  2. Step 2: Convert to fraction form
    120,736.50/262,230 = 262,230/x
  3. Step 3: Cross multiply
    120,736.50x = 262,230 × 262,230
  4. Step 4: Simplify right side
    120,736.50x = 68,764,572,900
  5. Step 5: Solve for x
    x = 68,764,572,900/120,736.50
  6. Step 6: Final answer
    x = 569,542.54

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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.