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Finding the Third Proportional to 241.44 and 528.06

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Solution

The third proportional to 241.44 and 528.06 is: 1,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.44 : 528.06 = 528.06 : x
  2. Step 2: Convert to fraction form
    241.44/528.06 = 528.06/x
  3. Step 3: Cross multiply
    241.44x = 528.06 × 528.06
  4. Step 4: Simplify right side
    241.44x = 278,850.00
  5. Step 5: Solve for x
    x = 278,850.00/241.44
  6. Step 6: Final answer
    x = 1,154.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.