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Finding the Third Proportional to 280,100 and 367,662

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Solution

The third proportional to 280,100 and 367,662 is: 482,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,100 : 367,662 = 367,662 : x
  2. Step 2: Convert to fraction form
    280,100/367,662 = 367,662/x
  3. Step 3: Cross multiply
    280,100x = 367,662 × 367,662
  4. Step 4: Simplify right side
    280,100x = 135,175,346,244
  5. Step 5: Solve for x
    x = 135,175,346,244/280,100
  6. Step 6: Final answer
    x = 482,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.