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Finding the Third Proportional to 165,107 and 255,102

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Solution

The third proportional to 165,107 and 255,102 is: 394,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,107 : 255,102 = 255,102 : x
  2. Step 2: Convert to fraction form
    165,107/255,102 = 255,102/x
  3. Step 3: Cross multiply
    165,107x = 255,102 × 255,102
  4. Step 4: Simplify right side
    165,107x = 65,077,030,404
  5. Step 5: Solve for x
    x = 65,077,030,404/165,107
  6. Step 6: Final answer
    x = 394,150.64

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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.