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Finding the Third Proportional to 171,728.50 and 373,027.50

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Solution

The third proportional to 171,728.50 and 373,027.50 is: 810,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,728.50 : 373,027.50 = 373,027.50 : x
  2. Step 2: Convert to fraction form
    171,728.50/373,027.50 = 373,027.50/x
  3. Step 3: Cross multiply
    171,728.50x = 373,027.50 × 373,027.50
  4. Step 4: Simplify right side
    171,728.50x = 139,149,515,756.25
  5. Step 5: Solve for x
    x = 139,149,515,756.25/171,728.50
  6. Step 6: Final answer
    x = 810,287.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.