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Finding the Third Proportional to 94.50 and 241.88

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Solution

The third proportional to 94.50 and 241.88 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 241.88 = 241.88 : x
  2. Step 2: Convert to fraction form
    94.50/241.88 = 241.88/x
  3. Step 3: Cross multiply
    94.50x = 241.88 × 241.88
  4. Step 4: Simplify right side
    94.50x = 58,503.52
  5. Step 5: Solve for x
    x = 58,503.52/94.50
  6. Step 6: Final answer
    x = 619.08

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.