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Finding the Third Proportional to 182.46 and 261.52

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Solution

The third proportional to 182.46 and 261.52 is: 374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 261.52 = 261.52 : x
  2. Step 2: Convert to fraction form
    182.46/261.52 = 261.52/x
  3. Step 3: Cross multiply
    182.46x = 261.52 × 261.52
  4. Step 4: Simplify right side
    182.46x = 68,392.69
  5. Step 5: Solve for x
    x = 68,392.69/182.46
  6. Step 6: Final answer
    x = 374.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.