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Finding the Third Proportional to 192,080 and 419,152

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Solution

The third proportional to 192,080 and 419,152 is: 914,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,080 : 419,152 = 419,152 : x
  2. Step 2: Convert to fraction form
    192,080/419,152 = 419,152/x
  3. Step 3: Cross multiply
    192,080x = 419,152 × 419,152
  4. Step 4: Simplify right side
    192,080x = 175,688,399,104
  5. Step 5: Solve for x
    x = 175,688,399,104/192,080
  6. Step 6: Final answer
    x = 914,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.