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Finding the Third Proportional to 196,732.69 and 421,372.69

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Solution

The third proportional to 196,732.69 and 421,372.69 is: 902,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,732.69 : 421,372.69 = 421,372.69 : x
  2. Step 2: Convert to fraction form
    196,732.69/421,372.69 = 421,372.69/x
  3. Step 3: Cross multiply
    196,732.69x = 421,372.69 × 421,372.69
  4. Step 4: Simplify right side
    196,732.69x = 177,554,941,770.97
  5. Step 5: Solve for x
    x = 177,554,941,770.97/196,732.69
  6. Step 6: Final answer
    x = 902,518.76

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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.