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Finding the Third Proportional to 197,022 and 408,058

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Solution

The third proportional to 197,022 and 408,058 is: 845,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,022 : 408,058 = 408,058 : x
  2. Step 2: Convert to fraction form
    197,022/408,058 = 408,058/x
  3. Step 3: Cross multiply
    197,022x = 408,058 × 408,058
  4. Step 4: Simplify right side
    197,022x = 166,511,331,364
  5. Step 5: Solve for x
    x = 166,511,331,364/197,022
  6. Step 6: Final answer
    x = 845,140.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.