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Finding the Third Proportional to 215,077.78 and 332,868.23

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Solution

The third proportional to 215,077.78 and 332,868.23 is: 515,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,077.78 : 332,868.23 = 332,868.23 : x
  2. Step 2: Convert to fraction form
    215,077.78/332,868.23 = 332,868.23/x
  3. Step 3: Cross multiply
    215,077.78x = 332,868.23 × 332,868.23
  4. Step 4: Simplify right side
    215,077.78x = 110,801,261,455.93
  5. Step 5: Solve for x
    x = 110,801,261,455.93/215,077.78
  6. Step 6: Final answer
    x = 515,168.33

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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.