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Finding the Third Proportional to 241.87 and 376.42

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Solution

The third proportional to 241.87 and 376.42 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.87 : 376.42 = 376.42 : x
  2. Step 2: Convert to fraction form
    241.87/376.42 = 376.42/x
  3. Step 3: Cross multiply
    241.87x = 376.42 × 376.42
  4. Step 4: Simplify right side
    241.87x = 141,695.45
  5. Step 5: Solve for x
    x = 141,695.45/241.87
  6. Step 6: Final answer
    x = 585.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.