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Finding the Third Proportional to 165,183 and 251,236.50

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Solution

The third proportional to 165,183 and 251,236.50 is: 382,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,183 : 251,236.50 = 251,236.50 : x
  2. Step 2: Convert to fraction form
    165,183/251,236.50 = 251,236.50/x
  3. Step 3: Cross multiply
    165,183x = 251,236.50 × 251,236.50
  4. Step 4: Simplify right side
    165,183x = 63,119,778,932.25
  5. Step 5: Solve for x
    x = 63,119,778,932.25/165,183
  6. Step 6: Final answer
    x = 382,120.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.