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Finding the Third Proportional to 192,848 and 419,968

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Solution

The third proportional to 192,848 and 419,968 is: 914,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,848 : 419,968 = 419,968 : x
  2. Step 2: Convert to fraction form
    192,848/419,968 = 419,968/x
  3. Step 3: Cross multiply
    192,848x = 419,968 × 419,968
  4. Step 4: Simplify right side
    192,848x = 176,373,121,024
  5. Step 5: Solve for x
    x = 176,373,121,024/192,848
  6. Step 6: Final answer
    x = 914,570.65

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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.