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Finding the Third Proportional to 197,755.50 and 409,529.25

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Solution

The third proportional to 197,755.50 and 409,529.25 is: 848,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,755.50 : 409,529.25 = 409,529.25 : x
  2. Step 2: Convert to fraction form
    197,755.50/409,529.25 = 409,529.25/x
  3. Step 3: Cross multiply
    197,755.50x = 409,529.25 × 409,529.25
  4. Step 4: Simplify right side
    197,755.50x = 167,714,206,605.56
  5. Step 5: Solve for x
    x = 167,714,206,605.56/197,755.50
  6. Step 6: Final answer
    x = 848,088.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.