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Finding the Third Proportional to 120,836.25 and 264,912.75

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Solution

The third proportional to 120,836.25 and 264,912.75 is: 580,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,836.25 : 264,912.75 = 264,912.75 : x
  2. Step 2: Convert to fraction form
    120,836.25/264,912.75 = 264,912.75/x
  3. Step 3: Cross multiply
    120,836.25x = 264,912.75 × 264,912.75
  4. Step 4: Simplify right side
    120,836.25x = 70,178,765,112.56
  5. Step 5: Solve for x
    x = 70,178,765,112.56/120,836.25
  6. Step 6: Final answer
    x = 580,775.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.