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Finding the Third Proportional to 241.43 and 383.72

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Solution

The third proportional to 241.43 and 383.72 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.43 : 383.72 = 383.72 : x
  2. Step 2: Convert to fraction form
    241.43/383.72 = 383.72/x
  3. Step 3: Cross multiply
    241.43x = 383.72 × 383.72
  4. Step 4: Simplify right side
    241.43x = 147,242.33
  5. Step 5: Solve for x
    x = 147,242.33/241.43
  6. Step 6: Final answer
    x = 609.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.