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Finding the Third Proportional to 181.88 and 397.63

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Solution

The third proportional to 181.88 and 397.63 is: 869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 397.63 = 397.63 : x
  2. Step 2: Convert to fraction form
    181.88/397.63 = 397.63/x
  3. Step 3: Cross multiply
    181.88x = 397.63 × 397.63
  4. Step 4: Simplify right side
    181.88x = 158,105.64
  5. Step 5: Solve for x
    x = 158,105.64/181.88
  6. Step 6: Final answer
    x = 869.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.