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Finding the Third Proportional to 193,296 and 419,796

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Solution

The third proportional to 193,296 and 419,796 is: 911,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,296 : 419,796 = 419,796 : x
  2. Step 2: Convert to fraction form
    193,296/419,796 = 419,796/x
  3. Step 3: Cross multiply
    193,296x = 419,796 × 419,796
  4. Step 4: Simplify right side
    193,296x = 176,228,681,616
  5. Step 5: Solve for x
    x = 176,228,681,616/193,296
  6. Step 6: Final answer
    x = 911,703.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.