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Finding the Third Proportional to 197,992 and 262,540

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Solution

The third proportional to 197,992 and 262,540 is: 348,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,992 : 262,540 = 262,540 : x
  2. Step 2: Convert to fraction form
    197,992/262,540 = 262,540/x
  3. Step 3: Cross multiply
    197,992x = 262,540 × 262,540
  4. Step 4: Simplify right side
    197,992x = 68,927,251,600
  5. Step 5: Solve for x
    x = 68,927,251,600/197,992
  6. Step 6: Final answer
    x = 348,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.