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Finding the Third Proportional to 169,954 and 269,929

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Solution

The third proportional to 169,954 and 269,929 is: 428,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,954 : 269,929 = 269,929 : x
  2. Step 2: Convert to fraction form
    169,954/269,929 = 269,929/x
  3. Step 3: Cross multiply
    169,954x = 269,929 × 269,929
  4. Step 4: Simplify right side
    169,954x = 72,861,665,041
  5. Step 5: Solve for x
    x = 72,861,665,041/169,954
  6. Step 6: Final answer
    x = 428,714.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.