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Finding the Third Proportional to 180,967 and 394,058

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Solution

The third proportional to 180,967 and 394,058 is: 858,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967 : 394,058 = 394,058 : x
  2. Step 2: Convert to fraction form
    180,967/394,058 = 394,058/x
  3. Step 3: Cross multiply
    180,967x = 394,058 × 394,058
  4. Step 4: Simplify right side
    180,967x = 155,281,707,364
  5. Step 5: Solve for x
    x = 155,281,707,364/180,967
  6. Step 6: Final answer
    x = 858,066.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.