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Finding the Third Proportional to 215,107.50 and 332,903.25

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Solution

The third proportional to 215,107.50 and 332,903.25 is: 515,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,107.50 : 332,903.25 = 332,903.25 : x
  2. Step 2: Convert to fraction form
    215,107.50/332,903.25 = 332,903.25/x
  3. Step 3: Cross multiply
    215,107.50x = 332,903.25 × 332,903.25
  4. Step 4: Simplify right side
    215,107.50x = 110,824,573,860.56
  5. Step 5: Solve for x
    x = 110,824,573,860.56/215,107.50
  6. Step 6: Final answer
    x = 515,205.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.