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Finding the Third Proportional to 182.61 and 394.04

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Solution

The third proportional to 182.61 and 394.04 is: 850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 394.04 = 394.04 : x
  2. Step 2: Convert to fraction form
    182.61/394.04 = 394.04/x
  3. Step 3: Cross multiply
    182.61x = 394.04 × 394.04
  4. Step 4: Simplify right side
    182.61x = 155,271.02
  5. Step 5: Solve for x
    x = 155,271.02/182.61
  6. Step 6: Final answer
    x = 850.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.