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Finding the Third Proportional to 169,246 and 400,975

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Solution

The third proportional to 169,246 and 400,975 is: 949,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,246 : 400,975 = 400,975 : x
  2. Step 2: Convert to fraction form
    169,246/400,975 = 400,975/x
  3. Step 3: Cross multiply
    169,246x = 400,975 × 400,975
  4. Step 4: Simplify right side
    169,246x = 160,780,950,625
  5. Step 5: Solve for x
    x = 160,780,950,625/169,246
  6. Step 6: Final answer
    x = 949,983.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.