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Finding the Third Proportional to 190,786 and 414,375

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Solution

The third proportional to 190,786 and 414,375 is: 899,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,786 : 414,375 = 414,375 : x
  2. Step 2: Convert to fraction form
    190,786/414,375 = 414,375/x
  3. Step 3: Cross multiply
    190,786x = 414,375 × 414,375
  4. Step 4: Simplify right side
    190,786x = 171,706,640,625
  5. Step 5: Solve for x
    x = 171,706,640,625/190,786
  6. Step 6: Final answer
    x = 899,996.02

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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.