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Finding the Third Proportional to 165,010 and 255,940

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Solution

The third proportional to 165,010 and 255,940 is: 396,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,010 : 255,940 = 255,940 : x
  2. Step 2: Convert to fraction form
    165,010/255,940 = 255,940/x
  3. Step 3: Cross multiply
    165,010x = 255,940 × 255,940
  4. Step 4: Simplify right side
    165,010x = 65,505,283,600
  5. Step 5: Solve for x
    x = 65,505,283,600/165,010
  6. Step 6: Final answer
    x = 396,977.66

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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.