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Finding the Third Proportional to 182.81 and 257.06

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Solution

The third proportional to 182.81 and 257.06 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 257.06 = 257.06 : x
  2. Step 2: Convert to fraction form
    182.81/257.06 = 257.06/x
  3. Step 3: Cross multiply
    182.81x = 257.06 × 257.06
  4. Step 4: Simplify right side
    182.81x = 66,081.13
  5. Step 5: Solve for x
    x = 66,081.13/182.81
  6. Step 6: Final answer
    x = 361.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.