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Finding the Third Proportional to 197,508 and 298,005

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Solution

The third proportional to 197,508 and 298,005 is: 449,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,508 : 298,005 = 298,005 : x
  2. Step 2: Convert to fraction form
    197,508/298,005 = 298,005/x
  3. Step 3: Cross multiply
    197,508x = 298,005 × 298,005
  4. Step 4: Simplify right side
    197,508x = 88,806,980,025
  5. Step 5: Solve for x
    x = 88,806,980,025/197,508
  6. Step 6: Final answer
    x = 449,637.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.