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Finding the Third Proportional to 193,738 and 418,058

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Solution

The third proportional to 193,738 and 418,058 is: 902,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,738 : 418,058 = 418,058 : x
  2. Step 2: Convert to fraction form
    193,738/418,058 = 418,058/x
  3. Step 3: Cross multiply
    193,738x = 418,058 × 418,058
  4. Step 4: Simplify right side
    193,738x = 174,772,491,364
  5. Step 5: Solve for x
    x = 174,772,491,364/193,738
  6. Step 6: Final answer
    x = 902,107.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.