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Finding the Third Proportional to 117,211.50 and 181,608.75

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Solution

The third proportional to 117,211.50 and 181,608.75 is: 281,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,211.50 : 181,608.75 = 181,608.75 : x
  2. Step 2: Convert to fraction form
    117,211.50/181,608.75 = 181,608.75/x
  3. Step 3: Cross multiply
    117,211.50x = 181,608.75 × 181,608.75
  4. Step 4: Simplify right side
    117,211.50x = 32,981,738,076.56
  5. Step 5: Solve for x
    x = 32,981,738,076.56/117,211.50
  6. Step 6: Final answer
    x = 281,386.54

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Why These Related Problems?

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