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Finding the Third Proportional to 192,300 and 406,764

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Solution

The third proportional to 192,300 and 406,764 is: 860,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,300 : 406,764 = 406,764 : x
  2. Step 2: Convert to fraction form
    192,300/406,764 = 406,764/x
  3. Step 3: Cross multiply
    192,300x = 406,764 × 406,764
  4. Step 4: Simplify right side
    192,300x = 165,456,951,696
  5. Step 5: Solve for x
    x = 165,456,951,696/192,300
  6. Step 6: Final answer
    x = 860,410.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.