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Finding the Third Proportional to 182.63 and 273.94

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Solution

The third proportional to 182.63 and 273.94 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 273.94 = 273.94 : x
  2. Step 2: Convert to fraction form
    182.63/273.94 = 273.94/x
  3. Step 3: Cross multiply
    182.63x = 273.94 × 273.94
  4. Step 4: Simplify right side
    182.63x = 75,041.75
  5. Step 5: Solve for x
    x = 75,041.75/182.63
  6. Step 6: Final answer
    x = 410.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.