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Finding the Third Proportional to 168,798 and 261,284

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Solution

The third proportional to 168,798 and 261,284 is: 404,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,798 : 261,284 = 261,284 : x
  2. Step 2: Convert to fraction form
    168,798/261,284 = 261,284/x
  3. Step 3: Cross multiply
    168,798x = 261,284 × 261,284
  4. Step 4: Simplify right side
    168,798x = 68,269,328,656
  5. Step 5: Solve for x
    x = 68,269,328,656/168,798
  6. Step 6: Final answer
    x = 404,443.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.