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Finding the Third Proportional to 190,086 and 408,252

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Solution

The third proportional to 190,086 and 408,252 is: 876,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,086 : 408,252 = 408,252 : x
  2. Step 2: Convert to fraction form
    190,086/408,252 = 408,252/x
  3. Step 3: Cross multiply
    190,086x = 408,252 × 408,252
  4. Step 4: Simplify right side
    190,086x = 166,669,695,504
  5. Step 5: Solve for x
    x = 166,669,695,504/190,086
  6. Step 6: Final answer
    x = 876,812.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.