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Finding the Third Proportional to 159,212 and 248,504

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Solution

The third proportional to 159,212 and 248,504 is: 387,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212 : 248,504 = 248,504 : x
  2. Step 2: Convert to fraction form
    159,212/248,504 = 248,504/x
  3. Step 3: Cross multiply
    159,212x = 248,504 × 248,504
  4. Step 4: Simplify right side
    159,212x = 61,754,238,016
  5. Step 5: Solve for x
    x = 61,754,238,016/159,212
  6. Step 6: Final answer
    x = 387,874.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.