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Finding the Third Proportional to 182.25 and 387.28

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Solution

The third proportional to 182.25 and 387.28 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 387.28 = 387.28 : x
  2. Step 2: Convert to fraction form
    182.25/387.28 = 387.28/x
  3. Step 3: Cross multiply
    182.25x = 387.28 × 387.28
  4. Step 4: Simplify right side
    182.25x = 149,986.77
  5. Step 5: Solve for x
    x = 149,986.77/182.25
  6. Step 6: Final answer
    x = 822.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.