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Finding the Third Proportional to 259 and 548.50

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Solution

The third proportional to 259 and 548.50 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 548.50 = 548.50 : x
  2. Step 2: Convert to fraction form
    259/548.50 = 548.50/x
  3. Step 3: Cross multiply
    259x = 548.50 × 548.50
  4. Step 4: Simplify right side
    259x = 300,852.25
  5. Step 5: Solve for x
    x = 300,852.25/259
  6. Step 6: Final answer
    x = 1,161.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.