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Finding the Third Proportional to 133,920.50 and 202,608.75

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Solution

The third proportional to 133,920.50 and 202,608.75 is: 306,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920.50 : 202,608.75 = 202,608.75 : x
  2. Step 2: Convert to fraction form
    133,920.50/202,608.75 = 202,608.75/x
  3. Step 3: Cross multiply
    133,920.50x = 202,608.75 × 202,608.75
  4. Step 4: Simplify right side
    133,920.50x = 41,050,305,576.56
  5. Step 5: Solve for x
    x = 41,050,305,576.56/133,920.50
  6. Step 6: Final answer
    x = 306,527.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.