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Finding the Third Proportional to 170,742 and 246,671

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Solution

The third proportional to 170,742 and 246,671 is: 356,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742 : 246,671 = 246,671 : x
  2. Step 2: Convert to fraction form
    170,742/246,671 = 246,671/x
  3. Step 3: Cross multiply
    170,742x = 246,671 × 246,671
  4. Step 4: Simplify right side
    170,742x = 60,846,582,241
  5. Step 5: Solve for x
    x = 60,846,582,241/170,742
  6. Step 6: Final answer
    x = 356,365.64

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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.