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Finding the Third Proportional to 168,420 and 360,177

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Solution

The third proportional to 168,420 and 360,177 is: 770,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,420 : 360,177 = 360,177 : x
  2. Step 2: Convert to fraction form
    168,420/360,177 = 360,177/x
  3. Step 3: Cross multiply
    168,420x = 360,177 × 360,177
  4. Step 4: Simplify right side
    168,420x = 129,727,471,329
  5. Step 5: Solve for x
    x = 129,727,471,329/168,420
  6. Step 6: Final answer
    x = 770,261.68

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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.