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Finding the Third Proportional to 131,199 and 271,734

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Solution

The third proportional to 131,199 and 271,734 is: 562,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,199 : 271,734 = 271,734 : x
  2. Step 2: Convert to fraction form
    131,199/271,734 = 271,734/x
  3. Step 3: Cross multiply
    131,199x = 271,734 × 271,734
  4. Step 4: Simplify right side
    131,199x = 73,839,366,756
  5. Step 5: Solve for x
    x = 73,839,366,756/131,199
  6. Step 6: Final answer
    x = 562,804.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.