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Finding the Third Proportional to 207,908 and 271,880

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Solution

The third proportional to 207,908 and 271,880 is: 355,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908 : 271,880 = 271,880 : x
  2. Step 2: Convert to fraction form
    207,908/271,880 = 271,880/x
  3. Step 3: Cross multiply
    207,908x = 271,880 × 271,880
  4. Step 4: Simplify right side
    207,908x = 73,918,734,400
  5. Step 5: Solve for x
    x = 73,918,734,400/207,908
  6. Step 6: Final answer
    x = 355,535.79

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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.