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Finding the Third Proportional to 241.50 and 374.70

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Solution

The third proportional to 241.50 and 374.70 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 374.70 = 374.70 : x
  2. Step 2: Convert to fraction form
    241.50/374.70 = 374.70/x
  3. Step 3: Cross multiply
    241.50x = 374.70 × 374.70
  4. Step 4: Simplify right side
    241.50x = 140,403.16
  5. Step 5: Solve for x
    x = 140,403.16/241.50
  6. Step 6: Final answer
    x = 581.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.