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Finding the Third Proportional to 170,744 and 246,674

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Solution

The third proportional to 170,744 and 246,674 is: 356,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,744 : 246,674 = 246,674 : x
  2. Step 2: Convert to fraction form
    170,744/246,674 = 246,674/x
  3. Step 3: Cross multiply
    170,744x = 246,674 × 246,674
  4. Step 4: Simplify right side
    170,744x = 60,848,062,276
  5. Step 5: Solve for x
    x = 60,848,062,276/170,744
  6. Step 6: Final answer
    x = 356,370.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.