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Finding the Third Proportional to 182,698 and 398,597

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Solution

The third proportional to 182,698 and 398,597 is: 869,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,698 : 398,597 = 398,597 : x
  2. Step 2: Convert to fraction form
    182,698/398,597 = 398,597/x
  3. Step 3: Cross multiply
    182,698x = 398,597 × 398,597
  4. Step 4: Simplify right side
    182,698x = 158,879,568,409
  5. Step 5: Solve for x
    x = 158,879,568,409/182,698
  6. Step 6: Final answer
    x = 869,629.49

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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.