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Finding the Third Proportional to 171,055.50 and 264,885

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Solution

The third proportional to 171,055.50 and 264,885 is: 410,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,055.50 : 264,885 = 264,885 : x
  2. Step 2: Convert to fraction form
    171,055.50/264,885 = 264,885/x
  3. Step 3: Cross multiply
    171,055.50x = 264,885 × 264,885
  4. Step 4: Simplify right side
    171,055.50x = 70,164,063,225
  5. Step 5: Solve for x
    x = 70,164,063,225/171,055.50
  6. Step 6: Final answer
    x = 410,183.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.