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Finding the Third Proportional to 165,112 and 255,108

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Solution

The third proportional to 165,112 and 255,108 is: 394,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,112 : 255,108 = 255,108 : x
  2. Step 2: Convert to fraction form
    165,112/255,108 = 255,108/x
  3. Step 3: Cross multiply
    165,112x = 255,108 × 255,108
  4. Step 4: Simplify right side
    165,112x = 65,080,091,664
  5. Step 5: Solve for x
    x = 65,080,091,664/165,112
  6. Step 6: Final answer
    x = 394,157.25

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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.