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Finding the Third Proportional to 185,255 and 398,597

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Solution

The third proportional to 185,255 and 398,597 is: 857,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,255 : 398,597 = 398,597 : x
  2. Step 2: Convert to fraction form
    185,255/398,597 = 398,597/x
  3. Step 3: Cross multiply
    185,255x = 398,597 × 398,597
  4. Step 4: Simplify right side
    185,255x = 158,879,568,409
  5. Step 5: Solve for x
    x = 158,879,568,409/185,255
  6. Step 6: Final answer
    x = 857,626.34

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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.