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Finding the Third Proportional to 171,072 and 264,912.19

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Solution

The third proportional to 171,072 and 264,912.19 is: 410,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,072 : 264,912.19 = 264,912.19 : x
  2. Step 2: Convert to fraction form
    171,072/264,912.19 = 264,912.19/x
  3. Step 3: Cross multiply
    171,072x = 264,912.19 × 264,912.19
  4. Step 4: Simplify right side
    171,072x = 70,178,467,086.04
  5. Step 5: Solve for x
    x = 70,178,467,086.04/171,072
  6. Step 6: Final answer
    x = 410,227.66

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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.