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Finding the Third Proportional to 169,932 and 269,898

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Solution

The third proportional to 169,932 and 269,898 is: 428,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,932 : 269,898 = 269,898 : x
  2. Step 2: Convert to fraction form
    169,932/269,898 = 269,898/x
  3. Step 3: Cross multiply
    169,932x = 269,898 × 269,898
  4. Step 4: Simplify right side
    169,932x = 72,844,930,404
  5. Step 5: Solve for x
    x = 72,844,930,404/169,932
  6. Step 6: Final answer
    x = 428,671.06

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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.