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Finding the Third Proportional to 168,195 and 280,314

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Solution

The third proportional to 168,195 and 280,314 is: 467,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,195 : 280,314 = 280,314 : x
  2. Step 2: Convert to fraction form
    168,195/280,314 = 280,314/x
  3. Step 3: Cross multiply
    168,195x = 280,314 × 280,314
  4. Step 4: Simplify right side
    168,195x = 78,575,938,596
  5. Step 5: Solve for x
    x = 78,575,938,596/168,195
  6. Step 6: Final answer
    x = 467,171.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.