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Finding the Third Proportional to 180 and 215

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Solution

The third proportional to 180 and 215 is: 256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 215 = 215 : x
  2. Step 2: Convert to fraction form
    180/215 = 215/x
  3. Step 3: Cross multiply
    180x = 215 × 215
  4. Step 4: Simplify right side
    180x = 46,225
  5. Step 5: Solve for x
    x = 46,225/180
  6. Step 6: Final answer
    x = 256.81

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.