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Finding the Third Proportional to 197,548.50 and 427,011

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Solution

The third proportional to 197,548.50 and 427,011 is: 923,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548.50 : 427,011 = 427,011 : x
  2. Step 2: Convert to fraction form
    197,548.50/427,011 = 427,011/x
  3. Step 3: Cross multiply
    197,548.50x = 427,011 × 427,011
  4. Step 4: Simplify right side
    197,548.50x = 182,338,394,121
  5. Step 5: Solve for x
    x = 182,338,394,121/197,548.50
  6. Step 6: Final answer
    x = 923,005.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.