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Finding the Third Proportional to 182.60 and 285.33

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Solution

The third proportional to 182.60 and 285.33 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 285.33 = 285.33 : x
  2. Step 2: Convert to fraction form
    182.60/285.33 = 285.33/x
  3. Step 3: Cross multiply
    182.60x = 285.33 × 285.33
  4. Step 4: Simplify right side
    182.60x = 81,412.14
  5. Step 5: Solve for x
    x = 81,412.14/182.60
  6. Step 6: Final answer
    x = 445.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.