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Finding the Third Proportional to 241.42 and 436.32

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Solution

The third proportional to 241.42 and 436.32 is: 788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.42 : 436.32 = 436.32 : x
  2. Step 2: Convert to fraction form
    241.42/436.32 = 436.32/x
  3. Step 3: Cross multiply
    241.42x = 436.32 × 436.32
  4. Step 4: Simplify right side
    241.42x = 190,378.82
  5. Step 5: Solve for x
    x = 190,378.82/241.42
  6. Step 6: Final answer
    x = 788.59

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.