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Finding the Third Proportional to 259 and 405.25

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Solution

The third proportional to 259 and 405.25 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 405.25 = 405.25 : x
  2. Step 2: Convert to fraction form
    259/405.25 = 405.25/x
  3. Step 3: Cross multiply
    259x = 405.25 × 405.25
  4. Step 4: Simplify right side
    259x = 164,227.56
  5. Step 5: Solve for x
    x = 164,227.56/259
  6. Step 6: Final answer
    x = 634.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.