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Finding the Third Proportional to 193,743 and 260,361

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Solution

The third proportional to 193,743 and 260,361 is: 349,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,743 : 260,361 = 260,361 : x
  2. Step 2: Convert to fraction form
    193,743/260,361 = 260,361/x
  3. Step 3: Cross multiply
    193,743x = 260,361 × 260,361
  4. Step 4: Simplify right side
    193,743x = 67,787,850,321
  5. Step 5: Solve for x
    x = 67,787,850,321/193,743
  6. Step 6: Final answer
    x = 349,885.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.