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Finding the Third Proportional to 165,853 and 248,519

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Solution

The third proportional to 165,853 and 248,519 is: 372,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,853 : 248,519 = 248,519 : x
  2. Step 2: Convert to fraction form
    165,853/248,519 = 248,519/x
  3. Step 3: Cross multiply
    165,853x = 248,519 × 248,519
  4. Step 4: Simplify right side
    165,853x = 61,761,693,361
  5. Step 5: Solve for x
    x = 61,761,693,361/165,853
  6. Step 6: Final answer
    x = 372,388.16

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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.