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Finding the Third Proportional to 182.81 and 253.94

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Solution

The third proportional to 182.81 and 253.94 is: 352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 253.94 = 253.94 : x
  2. Step 2: Convert to fraction form
    182.81/253.94 = 253.94/x
  3. Step 3: Cross multiply
    182.81x = 253.94 × 253.94
  4. Step 4: Simplify right side
    182.81x = 64,484.25
  5. Step 5: Solve for x
    x = 64,484.25/182.81
  6. Step 6: Final answer
    x = 352.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.