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Finding the Third Proportional to 207,960.75 and 425,755.41

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Solution

The third proportional to 207,960.75 and 425,755.41 is: 871,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,960.75 : 425,755.41 = 425,755.41 : x
  2. Step 2: Convert to fraction form
    207,960.75/425,755.41 = 425,755.41/x
  3. Step 3: Cross multiply
    207,960.75x = 425,755.41 × 425,755.41
  4. Step 4: Simplify right side
    207,960.75x = 181,267,665,951.10
  5. Step 5: Solve for x
    x = 181,267,665,951.10/207,960.75
  6. Step 6: Final answer
    x = 871,643.64

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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.