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Finding the Third Proportional to 259.69 and 557.44

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Solution

The third proportional to 259.69 and 557.44 is: 1,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 557.44 = 557.44 : x
  2. Step 2: Convert to fraction form
    259.69/557.44 = 557.44/x
  3. Step 3: Cross multiply
    259.69x = 557.44 × 557.44
  4. Step 4: Simplify right side
    259.69x = 310,736.57
  5. Step 5: Solve for x
    x = 310,736.57/259.69
  6. Step 6: Final answer
    x = 1,196.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.