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Finding the Third Proportional to 224,592.50 and 336,542.75

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Solution

The third proportional to 224,592.50 and 336,542.75 is: 504,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,592.50 : 336,542.75 = 336,542.75 : x
  2. Step 2: Convert to fraction form
    224,592.50/336,542.75 = 336,542.75/x
  3. Step 3: Cross multiply
    224,592.50x = 336,542.75 × 336,542.75
  4. Step 4: Simplify right side
    224,592.50x = 113,261,022,577.56
  5. Step 5: Solve for x
    x = 113,261,022,577.56/224,592.50
  6. Step 6: Final answer
    x = 504,295.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.