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Finding the Third Proportional to 190,938 and 411,384

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Solution

The third proportional to 190,938 and 411,384 is: 886,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,938 : 411,384 = 411,384 : x
  2. Step 2: Convert to fraction form
    190,938/411,384 = 411,384/x
  3. Step 3: Cross multiply
    190,938x = 411,384 × 411,384
  4. Step 4: Simplify right side
    190,938x = 169,236,795,456
  5. Step 5: Solve for x
    x = 169,236,795,456/190,938
  6. Step 6: Final answer
    x = 886,344.23

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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.