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Finding the Third Proportional to 180 and 282

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Solution

The third proportional to 180 and 282 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 282 = 282 : x
  2. Step 2: Convert to fraction form
    180/282 = 282/x
  3. Step 3: Cross multiply
    180x = 282 × 282
  4. Step 4: Simplify right side
    180x = 79,524
  5. Step 5: Solve for x
    x = 79,524/180
  6. Step 6: Final answer
    x = 441.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.