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Finding the Third Proportional to 109,747.50 and 239,584.50

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Solution

The third proportional to 109,747.50 and 239,584.50 is: 523,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747.50 : 239,584.50 = 239,584.50 : x
  2. Step 2: Convert to fraction form
    109,747.50/239,584.50 = 239,584.50/x
  3. Step 3: Cross multiply
    109,747.50x = 239,584.50 × 239,584.50
  4. Step 4: Simplify right side
    109,747.50x = 57,400,732,640.25
  5. Step 5: Solve for x
    x = 57,400,732,640.25/109,747.50
  6. Step 6: Final answer
    x = 523,025.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.