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Finding the Third Proportional to 165,956 and 246,880

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Solution

The third proportional to 165,956 and 246,880 is: 367,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,956 : 246,880 = 246,880 : x
  2. Step 2: Convert to fraction form
    165,956/246,880 = 246,880/x
  3. Step 3: Cross multiply
    165,956x = 246,880 × 246,880
  4. Step 4: Simplify right side
    165,956x = 60,949,734,400
  5. Step 5: Solve for x
    x = 60,949,734,400/165,956
  6. Step 6: Final answer
    x = 367,264.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.