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Finding the Third Proportional to 165,879 and 248,967

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Solution

The third proportional to 165,879 and 248,967 is: 373,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,879 : 248,967 = 248,967 : x
  2. Step 2: Convert to fraction form
    165,879/248,967 = 248,967/x
  3. Step 3: Cross multiply
    165,879x = 248,967 × 248,967
  4. Step 4: Simplify right side
    165,879x = 61,984,567,089
  5. Step 5: Solve for x
    x = 61,984,567,089/165,879
  6. Step 6: Final answer
    x = 373,673.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.