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Finding the Third Proportional to 165,016 and 255,101

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Solution

The third proportional to 165,016 and 255,101 is: 394,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,016 : 255,101 = 255,101 : x
  2. Step 2: Convert to fraction form
    165,016/255,101 = 255,101/x
  3. Step 3: Cross multiply
    165,016x = 255,101 × 255,101
  4. Step 4: Simplify right side
    165,016x = 65,076,520,201
  5. Step 5: Solve for x
    x = 65,076,520,201/165,016
  6. Step 6: Final answer
    x = 394,364.91

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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.