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Finding the Third Proportional to 168,422 and 360,181

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Solution

The third proportional to 168,422 and 360,181 is: 770,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,422 : 360,181 = 360,181 : x
  2. Step 2: Convert to fraction form
    168,422/360,181 = 360,181/x
  3. Step 3: Cross multiply
    168,422x = 360,181 × 360,181
  4. Step 4: Simplify right side
    168,422x = 129,730,352,761
  5. Step 5: Solve for x
    x = 129,730,352,761/168,422
  6. Step 6: Final answer
    x = 770,269.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.