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Finding the Third Proportional to 197,365.50 and 477,234

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Solution

The third proportional to 197,365.50 and 477,234 is: 1,153,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,365.50 : 477,234 = 477,234 : x
  2. Step 2: Convert to fraction form
    197,365.50/477,234 = 477,234/x
  3. Step 3: Cross multiply
    197,365.50x = 477,234 × 477,234
  4. Step 4: Simplify right side
    197,365.50x = 227,752,290,756
  5. Step 5: Solve for x
    x = 227,752,290,756/197,365.50
  6. Step 6: Final answer
    x = 1,153,962.02

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.