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Finding the Third Proportional to 197,577 and 298,107

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Solution

The third proportional to 197,577 and 298,107 is: 449,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,577 : 298,107 = 298,107 : x
  2. Step 2: Convert to fraction form
    197,577/298,107 = 298,107/x
  3. Step 3: Cross multiply
    197,577x = 298,107 × 298,107
  4. Step 4: Simplify right side
    197,577x = 88,867,783,449
  5. Step 5: Solve for x
    x = 88,867,783,449/197,577
  6. Step 6: Final answer
    x = 449,788.10

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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.