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Finding the Third Proportional to 169,244 and 400,970

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Solution

The third proportional to 169,244 and 400,970 is: 949,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,244 : 400,970 = 400,970 : x
  2. Step 2: Convert to fraction form
    169,244/400,970 = 400,970/x
  3. Step 3: Cross multiply
    169,244x = 400,970 × 400,970
  4. Step 4: Simplify right side
    169,244x = 160,776,940,900
  5. Step 5: Solve for x
    x = 160,776,940,900/169,244
  6. Step 6: Final answer
    x = 949,971.29

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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.