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Finding the Third Proportional to 180.75 and 426.56

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Solution

The third proportional to 180.75 and 426.56 is: 1,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 426.56 = 426.56 : x
  2. Step 2: Convert to fraction form
    180.75/426.56 = 426.56/x
  3. Step 3: Cross multiply
    180.75x = 426.56 × 426.56
  4. Step 4: Simplify right side
    180.75x = 181,955.57
  5. Step 5: Solve for x
    x = 181,955.57/180.75
  6. Step 6: Final answer
    x = 1,006.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.