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Finding the Third Proportional to 241.75 and 538.25

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Solution

The third proportional to 241.75 and 538.25 is: 1,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 538.25 = 538.25 : x
  2. Step 2: Convert to fraction form
    241.75/538.25 = 538.25/x
  3. Step 3: Cross multiply
    241.75x = 538.25 × 538.25
  4. Step 4: Simplify right side
    241.75x = 289,713.06
  5. Step 5: Solve for x
    x = 289,713.06/241.75
  6. Step 6: Final answer
    x = 1,198.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.