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Finding the Third Proportional to 197,503 and 297,997

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Solution

The third proportional to 197,503 and 297,997 is: 449,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,503 : 297,997 = 297,997 : x
  2. Step 2: Convert to fraction form
    197,503/297,997 = 297,997/x
  3. Step 3: Cross multiply
    197,503x = 297,997 × 297,997
  4. Step 4: Simplify right side
    197,503x = 88,802,212,009
  5. Step 5: Solve for x
    x = 88,802,212,009/197,503
  6. Step 6: Final answer
    x = 449,624.62

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