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Finding the Third Proportional to 197,204 and 430,881

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Solution

The third proportional to 197,204 and 430,881 is: 941,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,204 : 430,881 = 430,881 : x
  2. Step 2: Convert to fraction form
    197,204/430,881 = 430,881/x
  3. Step 3: Cross multiply
    197,204x = 430,881 × 430,881
  4. Step 4: Simplify right side
    197,204x = 185,658,436,161
  5. Step 5: Solve for x
    x = 185,658,436,161/197,204
  6. Step 6: Final answer
    x = 941,453.70

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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.