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Finding the Third Proportional to 135,852 and 281,256

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Solution

The third proportional to 135,852 and 281,256 is: 582,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852 : 281,256 = 281,256 : x
  2. Step 2: Convert to fraction form
    135,852/281,256 = 281,256/x
  3. Step 3: Cross multiply
    135,852x = 281,256 × 281,256
  4. Step 4: Simplify right side
    135,852x = 79,104,937,536
  5. Step 5: Solve for x
    x = 79,104,937,536/135,852
  6. Step 6: Final answer
    x = 582,287.62

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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.