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Finding the Third Proportional to 248,840 and 335,268

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Solution

The third proportional to 248,840 and 335,268 is: 451,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,840 : 335,268 = 335,268 : x
  2. Step 2: Convert to fraction form
    248,840/335,268 = 335,268/x
  3. Step 3: Cross multiply
    248,840x = 335,268 × 335,268
  4. Step 4: Simplify right side
    248,840x = 112,404,631,824
  5. Step 5: Solve for x
    x = 112,404,631,824/248,840
  6. Step 6: Final answer
    x = 451,714.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.