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Finding the Third Proportional to 172,408.50 and 416,076.75

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Solution

The third proportional to 172,408.50 and 416,076.75 is: 1,004,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.50 : 416,076.75 = 416,076.75 : x
  2. Step 2: Convert to fraction form
    172,408.50/416,076.75 = 416,076.75/x
  3. Step 3: Cross multiply
    172,408.50x = 416,076.75 × 416,076.75
  4. Step 4: Simplify right side
    172,408.50x = 173,119,861,890.56
  5. Step 5: Solve for x
    x = 173,119,861,890.56/172,408.50
  6. Step 6: Final answer
    x = 1,004,126.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.