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Finding the Third Proportional to 181.63 and 395.68

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Solution

The third proportional to 181.63 and 395.68 is: 861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 395.68 = 395.68 : x
  2. Step 2: Convert to fraction form
    181.63/395.68 = 395.68/x
  3. Step 3: Cross multiply
    181.63x = 395.68 × 395.68
  4. Step 4: Simplify right side
    181.63x = 156,559.42
  5. Step 5: Solve for x
    x = 156,559.42/181.63
  6. Step 6: Final answer
    x = 861.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.