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Finding the Third Proportional to 109,540.75 and 224,265.25

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Solution

The third proportional to 109,540.75 and 224,265.25 is: 459,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540.75 : 224,265.25 = 224,265.25 : x
  2. Step 2: Convert to fraction form
    109,540.75/224,265.25 = 224,265.25/x
  3. Step 3: Cross multiply
    109,540.75x = 224,265.25 × 224,265.25
  4. Step 4: Simplify right side
    109,540.75x = 50,294,902,357.56
  5. Step 5: Solve for x
    x = 50,294,902,357.56/109,540.75
  6. Step 6: Final answer
    x = 459,143.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.