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Finding the Third Proportional to 174,790.25 and 269,912.75

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Solution

The third proportional to 174,790.25 and 269,912.75 is: 416,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,790.25 : 269,912.75 = 269,912.75 : x
  2. Step 2: Convert to fraction form
    174,790.25/269,912.75 = 269,912.75/x
  3. Step 3: Cross multiply
    174,790.25x = 269,912.75 × 269,912.75
  4. Step 4: Simplify right side
    174,790.25x = 72,852,892,612.56
  5. Step 5: Solve for x
    x = 72,852,892,612.56/174,790.25
  6. Step 6: Final answer
    x = 416,801.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.