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Finding the Third Proportional to 259 and 395

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Solution

The third proportional to 259 and 395 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 395 = 395 : x
  2. Step 2: Convert to fraction form
    259/395 = 395/x
  3. Step 3: Cross multiply
    259x = 395 × 395
  4. Step 4: Simplify right side
    259x = 156,025
  5. Step 5: Solve for x
    x = 156,025/259
  6. Step 6: Final answer
    x = 602.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.