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Finding the Third Proportional to 182.50 and 439.25

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Solution

The third proportional to 182.50 and 439.25 is: 1,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.50 : 439.25 = 439.25 : x
  2. Step 2: Convert to fraction form
    182.50/439.25 = 439.25/x
  3. Step 3: Cross multiply
    182.50x = 439.25 × 439.25
  4. Step 4: Simplify right side
    182.50x = 192,940.56
  5. Step 5: Solve for x
    x = 192,940.56/182.50
  6. Step 6: Final answer
    x = 1,057.21

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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.