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Finding the Third Proportional to 241.59 and 537.19

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Solution

The third proportional to 241.59 and 537.19 is: 1,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.59 : 537.19 = 537.19 : x
  2. Step 2: Convert to fraction form
    241.59/537.19 = 537.19/x
  3. Step 3: Cross multiply
    241.59x = 537.19 × 537.19
  4. Step 4: Simplify right side
    241.59x = 288,570.41
  5. Step 5: Solve for x
    x = 288,570.41/241.59
  6. Step 6: Final answer
    x = 1,194.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.