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Finding the Third Proportional to 227,200.50 and 352,793.25

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Solution

The third proportional to 227,200.50 and 352,793.25 is: 547,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200.50 : 352,793.25 = 352,793.25 : x
  2. Step 2: Convert to fraction form
    227,200.50/352,793.25 = 352,793.25/x
  3. Step 3: Cross multiply
    227,200.50x = 352,793.25 × 352,793.25
  4. Step 4: Simplify right side
    227,200.50x = 124,463,077,245.56
  5. Step 5: Solve for x
    x = 124,463,077,245.56/227,200.50
  6. Step 6: Final answer
    x = 547,811.63

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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.