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Finding the Third Proportional to 171,816.19 and 262,161.56

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Solution

The third proportional to 171,816.19 and 262,161.56 is: 400,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,816.19 : 262,161.56 = 262,161.56 : x
  2. Step 2: Convert to fraction form
    171,816.19/262,161.56 = 262,161.56/x
  3. Step 3: Cross multiply
    171,816.19x = 262,161.56 × 262,161.56
  4. Step 4: Simplify right side
    171,816.19x = 68,728,684,852.44
  5. Step 5: Solve for x
    x = 68,728,684,852.44/171,816.19
  6. Step 6: Final answer
    x = 400,012.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.