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Finding the Third Proportional to 197,074.50 and 304,800

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Solution

The third proportional to 197,074.50 and 304,800 is: 471,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,074.50 : 304,800 = 304,800 : x
  2. Step 2: Convert to fraction form
    197,074.50/304,800 = 304,800/x
  3. Step 3: Cross multiply
    197,074.50x = 304,800 × 304,800
  4. Step 4: Simplify right side
    197,074.50x = 92,903,040,000
  5. Step 5: Solve for x
    x = 92,903,040,000/197,074.50
  6. Step 6: Final answer
    x = 471,410.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.