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Finding the Third Proportional to 181.63 and 387.63

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Solution

The third proportional to 181.63 and 387.63 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 387.63 = 387.63 : x
  2. Step 2: Convert to fraction form
    181.63/387.63 = 387.63/x
  3. Step 3: Cross multiply
    181.63x = 387.63 × 387.63
  4. Step 4: Simplify right side
    181.63x = 150,253.14
  5. Step 5: Solve for x
    x = 150,253.14/181.63
  6. Step 6: Final answer
    x = 827.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.