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Finding the Third Proportional to 181.06 and 374.88

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Solution

The third proportional to 181.06 and 374.88 is: 776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 374.88 = 374.88 : x
  2. Step 2: Convert to fraction form
    181.06/374.88 = 374.88/x
  3. Step 3: Cross multiply
    181.06x = 374.88 × 374.88
  4. Step 4: Simplify right side
    181.06x = 140,531.27
  5. Step 5: Solve for x
    x = 140,531.27/181.06
  6. Step 6: Final answer
    x = 776.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.