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Finding the Third Proportional to 168,798 and 258,834

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Solution

The third proportional to 168,798 and 258,834 is: 396,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,798 : 258,834 = 258,834 : x
  2. Step 2: Convert to fraction form
    168,798/258,834 = 258,834/x
  3. Step 3: Cross multiply
    168,798x = 258,834 × 258,834
  4. Step 4: Simplify right side
    168,798x = 66,995,039,556
  5. Step 5: Solve for x
    x = 66,995,039,556/168,798
  6. Step 6: Final answer
    x = 396,894.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.