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Finding the Third Proportional to 136,674 and 295,812

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Solution

The third proportional to 136,674 and 295,812 is: 640,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674 : 295,812 = 295,812 : x
  2. Step 2: Convert to fraction form
    136,674/295,812 = 295,812/x
  3. Step 3: Cross multiply
    136,674x = 295,812 × 295,812
  4. Step 4: Simplify right side
    136,674x = 87,504,739,344
  5. Step 5: Solve for x
    x = 87,504,739,344/136,674
  6. Step 6: Final answer
    x = 640,244.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.