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Finding the Third Proportional to 197,622 and 298,170

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Solution

The third proportional to 197,622 and 298,170 is: 449,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,622 : 298,170 = 298,170 : x
  2. Step 2: Convert to fraction form
    197,622/298,170 = 298,170/x
  3. Step 3: Cross multiply
    197,622x = 298,170 × 298,170
  4. Step 4: Simplify right side
    197,622x = 88,905,348,900
  5. Step 5: Solve for x
    x = 88,905,348,900/197,622
  6. Step 6: Final answer
    x = 449,875.77

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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.