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Finding the Third Proportional to 165,006 and 255,933

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Solution

The third proportional to 165,006 and 255,933 is: 396,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,006 : 255,933 = 255,933 : x
  2. Step 2: Convert to fraction form
    165,006/255,933 = 255,933/x
  3. Step 3: Cross multiply
    165,006x = 255,933 × 255,933
  4. Step 4: Simplify right side
    165,006x = 65,501,700,489
  5. Step 5: Solve for x
    x = 65,501,700,489/165,006
  6. Step 6: Final answer
    x = 396,965.57

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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.