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Finding the Third Proportional to 197,461.50 and 297,936

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Solution

The third proportional to 197,461.50 and 297,936 is: 449,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,461.50 : 297,936 = 297,936 : x
  2. Step 2: Convert to fraction form
    197,461.50/297,936 = 297,936/x
  3. Step 3: Cross multiply
    197,461.50x = 297,936 × 297,936
  4. Step 4: Simplify right side
    197,461.50x = 88,765,860,096
  5. Step 5: Solve for x
    x = 88,765,860,096/197,461.50
  6. Step 6: Final answer
    x = 449,535.02

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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.