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Finding the Third Proportional to 241.75 and 386.63

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Solution

The third proportional to 241.75 and 386.63 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 386.63 = 386.63 : x
  2. Step 2: Convert to fraction form
    241.75/386.63 = 386.63/x
  3. Step 3: Cross multiply
    241.75x = 386.63 × 386.63
  4. Step 4: Simplify right side
    241.75x = 149,478.89
  5. Step 5: Solve for x
    x = 149,478.89/241.75
  6. Step 6: Final answer
    x = 618.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.