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Finding the Third Proportional to 197,234 and 421,805

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Solution

The third proportional to 197,234 and 421,805 is: 902,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,234 : 421,805 = 421,805 : x
  2. Step 2: Convert to fraction form
    197,234/421,805 = 421,805/x
  3. Step 3: Cross multiply
    197,234x = 421,805 × 421,805
  4. Step 4: Simplify right side
    197,234x = 177,919,458,025
  5. Step 5: Solve for x
    x = 177,919,458,025/197,234
  6. Step 6: Final answer
    x = 902,072.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.