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Finding the Third Proportional to 190,299 and 406,836

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Solution

The third proportional to 190,299 and 406,836 is: 869,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,299 : 406,836 = 406,836 : x
  2. Step 2: Convert to fraction form
    190,299/406,836 = 406,836/x
  3. Step 3: Cross multiply
    190,299x = 406,836 × 406,836
  4. Step 4: Simplify right side
    190,299x = 165,515,530,896
  5. Step 5: Solve for x
    x = 165,515,530,896/190,299
  6. Step 6: Final answer
    x = 869,765.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.