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Finding the Third Proportional to 169,224 and 400,902

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Solution

The third proportional to 169,224 and 400,902 is: 949,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,224 : 400,902 = 400,902 : x
  2. Step 2: Convert to fraction form
    169,224/400,902 = 400,902/x
  3. Step 3: Cross multiply
    169,224x = 400,902 × 400,902
  4. Step 4: Simplify right side
    169,224x = 160,722,413,604
  5. Step 5: Solve for x
    x = 160,722,413,604/169,224
  6. Step 6: Final answer
    x = 949,761.34

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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.