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Finding the Third Proportional to 185,223 and 398,059

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Solution

The third proportional to 185,223 and 398,059 is: 855,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,223 : 398,059 = 398,059 : x
  2. Step 2: Convert to fraction form
    185,223/398,059 = 398,059/x
  3. Step 3: Cross multiply
    185,223x = 398,059 × 398,059
  4. Step 4: Simplify right side
    185,223x = 158,450,967,481
  5. Step 5: Solve for x
    x = 158,450,967,481/185,223
  6. Step 6: Final answer
    x = 855,460.54

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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.