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Finding the Third Proportional to 169,956 and 269,932

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Solution

The third proportional to 169,956 and 269,932 is: 428,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,956 : 269,932 = 269,932 : x
  2. Step 2: Convert to fraction form
    169,956/269,932 = 269,932/x
  3. Step 3: Cross multiply
    169,956x = 269,932 × 269,932
  4. Step 4: Simplify right side
    169,956x = 72,863,284,624
  5. Step 5: Solve for x
    x = 72,863,284,624/169,956
  6. Step 6: Final answer
    x = 428,718.52

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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.