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Finding the Third Proportional to 174,149.25 and 355,679.25

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Solution

The third proportional to 174,149.25 and 355,679.25 is: 726,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,149.25 : 355,679.25 = 355,679.25 : x
  2. Step 2: Convert to fraction form
    174,149.25/355,679.25 = 355,679.25/x
  3. Step 3: Cross multiply
    174,149.25x = 355,679.25 × 355,679.25
  4. Step 4: Simplify right side
    174,149.25x = 126,507,728,880.56
  5. Step 5: Solve for x
    x = 126,507,728,880.56/174,149.25
  6. Step 6: Final answer
    x = 726,432.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.