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Finding the Third Proportional to 241 and 438.50

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Solution

The third proportional to 241 and 438.50 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 438.50 = 438.50 : x
  2. Step 2: Convert to fraction form
    241/438.50 = 438.50/x
  3. Step 3: Cross multiply
    241x = 438.50 × 438.50
  4. Step 4: Simplify right side
    241x = 192,282.25
  5. Step 5: Solve for x
    x = 192,282.25/241
  6. Step 6: Final answer
    x = 797.85

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.