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Finding the Third Proportional to 197,755 and 409,530

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Solution

The third proportional to 197,755 and 409,530 is: 848,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,755 : 409,530 = 409,530 : x
  2. Step 2: Convert to fraction form
    197,755/409,530 = 409,530/x
  3. Step 3: Cross multiply
    197,755x = 409,530 × 409,530
  4. Step 4: Simplify right side
    197,755x = 167,714,820,900
  5. Step 5: Solve for x
    x = 167,714,820,900/197,755
  6. Step 6: Final answer
    x = 848,093.96

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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.