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Finding the Third Proportional to 196,881 and 421,770

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Solution

The third proportional to 196,881 and 421,770 is: 903,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,881 : 421,770 = 421,770 : x
  2. Step 2: Convert to fraction form
    196,881/421,770 = 421,770/x
  3. Step 3: Cross multiply
    196,881x = 421,770 × 421,770
  4. Step 4: Simplify right side
    196,881x = 177,889,932,900
  5. Step 5: Solve for x
    x = 177,889,932,900/196,881
  6. Step 6: Final answer
    x = 903,540.38

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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.