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Finding the Third Proportional to 193,866 and 261,867

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Solution

The third proportional to 193,866 and 261,867 is: 353,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,866 : 261,867 = 261,867 : x
  2. Step 2: Convert to fraction form
    193,866/261,867 = 261,867/x
  3. Step 3: Cross multiply
    193,866x = 261,867 × 261,867
  4. Step 4: Simplify right side
    193,866x = 68,574,325,689
  5. Step 5: Solve for x
    x = 68,574,325,689/193,866
  6. Step 6: Final answer
    x = 353,720.23

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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.