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Finding the Third Proportional to 180.56 and 264.09

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Solution

The third proportional to 180.56 and 264.09 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 264.09 = 264.09 : x
  2. Step 2: Convert to fraction form
    180.56/264.09 = 264.09/x
  3. Step 3: Cross multiply
    180.56x = 264.09 × 264.09
  4. Step 4: Simplify right side
    180.56x = 69,745.51
  5. Step 5: Solve for x
    x = 69,745.51/180.56
  6. Step 6: Final answer
    x = 386.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.