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Finding the Third Proportional to 165,008 and 255,936

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Solution

The third proportional to 165,008 and 255,936 is: 396,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,008 : 255,936 = 255,936 : x
  2. Step 2: Convert to fraction form
    165,008/255,936 = 255,936/x
  3. Step 3: Cross multiply
    165,008x = 255,936 × 255,936
  4. Step 4: Simplify right side
    165,008x = 65,503,236,096
  5. Step 5: Solve for x
    x = 65,503,236,096/165,008
  6. Step 6: Final answer
    x = 396,970.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.