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Finding the Third Proportional to 174,177 and 269,193

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Solution

The third proportional to 174,177 and 269,193 is: 416,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,177 : 269,193 = 269,193 : x
  2. Step 2: Convert to fraction form
    174,177/269,193 = 269,193/x
  3. Step 3: Cross multiply
    174,177x = 269,193 × 269,193
  4. Step 4: Simplify right side
    174,177x = 72,464,871,249
  5. Step 5: Solve for x
    x = 72,464,871,249/174,177
  6. Step 6: Final answer
    x = 416,041.56

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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.