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Finding the Third Proportional to 241.88 and 371.04

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Solution

The third proportional to 241.88 and 371.04 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 371.04 = 371.04 : x
  2. Step 2: Convert to fraction form
    241.88/371.04 = 371.04/x
  3. Step 3: Cross multiply
    241.88x = 371.04 × 371.04
  4. Step 4: Simplify right side
    241.88x = 137,669.99
  5. Step 5: Solve for x
    x = 137,669.99/241.88
  6. Step 6: Final answer
    x = 569.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.