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Finding the Third Proportional to 179,886 and 259,884

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Solution

The third proportional to 179,886 and 259,884 is: 375,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,886 : 259,884 = 259,884 : x
  2. Step 2: Convert to fraction form
    179,886/259,884 = 259,884/x
  3. Step 3: Cross multiply
    179,886x = 259,884 × 259,884
  4. Step 4: Simplify right side
    179,886x = 67,539,693,456
  5. Step 5: Solve for x
    x = 67,539,693,456/179,886
  6. Step 6: Final answer
    x = 375,458.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.