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Finding the Third Proportional to 180.19 and 276.94

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Solution

The third proportional to 180.19 and 276.94 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 276.94 = 276.94 : x
  2. Step 2: Convert to fraction form
    180.19/276.94 = 276.94/x
  3. Step 3: Cross multiply
    180.19x = 276.94 × 276.94
  4. Step 4: Simplify right side
    180.19x = 76,694.38
  5. Step 5: Solve for x
    x = 76,694.38/180.19
  6. Step 6: Final answer
    x = 425.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.