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Finding the Third Proportional to 241.03 and 562.31

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Solution

The third proportional to 241.03 and 562.31 is: 1,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.03 : 562.31 = 562.31 : x
  2. Step 2: Convert to fraction form
    241.03/562.31 = 562.31/x
  3. Step 3: Cross multiply
    241.03x = 562.31 × 562.31
  4. Step 4: Simplify right side
    241.03x = 316,195.35
  5. Step 5: Solve for x
    x = 316,195.35/241.03
  6. Step 6: Final answer
    x = 1,311.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.