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Finding the Third Proportional to 87,945.75 and 207,400.50

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Solution

The third proportional to 87,945.75 and 207,400.50 is: 489,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,945.75 : 207,400.50 = 207,400.50 : x
  2. Step 2: Convert to fraction form
    87,945.75/207,400.50 = 207,400.50/x
  3. Step 3: Cross multiply
    87,945.75x = 207,400.50 × 207,400.50
  4. Step 4: Simplify right side
    87,945.75x = 43,014,967,400.25
  5. Step 5: Solve for x
    x = 43,014,967,400.25/87,945.75
  6. Step 6: Final answer
    x = 489,107.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.