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Finding the Third Proportional to 190,058 and 408,194

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Solution

The third proportional to 190,058 and 408,194 is: 876,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,058 : 408,194 = 408,194 : x
  2. Step 2: Convert to fraction form
    190,058/408,194 = 408,194/x
  3. Step 3: Cross multiply
    190,058x = 408,194 × 408,194
  4. Step 4: Simplify right side
    190,058x = 166,622,341,636
  5. Step 5: Solve for x
    x = 166,622,341,636/190,058
  6. Step 6: Final answer
    x = 876,692.07

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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.