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Finding the Third Proportional to 190,170 and 419,645

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Solution

The third proportional to 190,170 and 419,645 is: 926,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170 : 419,645 = 419,645 : x
  2. Step 2: Convert to fraction form
    190,170/419,645 = 419,645/x
  3. Step 3: Cross multiply
    190,170x = 419,645 × 419,645
  4. Step 4: Simplify right side
    190,170x = 176,101,926,025
  5. Step 5: Solve for x
    x = 176,101,926,025/190,170
  6. Step 6: Final answer
    x = 926,023.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.