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Finding the Third Proportional to 192,116 and 421,598

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Solution

The third proportional to 192,116 and 421,598 is: 925,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,116 : 421,598 = 421,598 : x
  2. Step 2: Convert to fraction form
    192,116/421,598 = 421,598/x
  3. Step 3: Cross multiply
    192,116x = 421,598 × 421,598
  4. Step 4: Simplify right side
    192,116x = 177,744,873,604
  5. Step 5: Solve for x
    x = 177,744,873,604/192,116
  6. Step 6: Final answer
    x = 925,195.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.