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Finding the Third Proportional to 192,996 and 415,152

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Solution

The third proportional to 192,996 and 415,152 is: 893,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996 : 415,152 = 415,152 : x
  2. Step 2: Convert to fraction form
    192,996/415,152 = 415,152/x
  3. Step 3: Cross multiply
    192,996x = 415,152 × 415,152
  4. Step 4: Simplify right side
    192,996x = 172,351,183,104
  5. Step 5: Solve for x
    x = 172,351,183,104/192,996
  6. Step 6: Final answer
    x = 893,029.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.