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Finding the Third Proportional to 241.42 and 492.96

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Solution

The third proportional to 241.42 and 492.96 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.42 : 492.96 = 492.96 : x
  2. Step 2: Convert to fraction form
    241.42/492.96 = 492.96/x
  3. Step 3: Cross multiply
    241.42x = 492.96 × 492.96
  4. Step 4: Simplify right side
    241.42x = 243,010.49
  5. Step 5: Solve for x
    x = 243,010.49/241.42
  6. Step 6: Final answer
    x = 1,006.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.