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Finding the Third Proportional to 193,874 and 261,878

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Solution

The third proportional to 193,874 and 261,878 is: 353,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,874 : 261,878 = 261,878 : x
  2. Step 2: Convert to fraction form
    193,874/261,878 = 261,878/x
  3. Step 3: Cross multiply
    193,874x = 261,878 × 261,878
  4. Step 4: Simplify right side
    193,874x = 68,580,086,884
  5. Step 5: Solve for x
    x = 68,580,086,884/193,874
  6. Step 6: Final answer
    x = 353,735.35

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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.