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Finding the Third Proportional to 259 and 431.25

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Solution

The third proportional to 259 and 431.25 is: 718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 431.25 = 431.25 : x
  2. Step 2: Convert to fraction form
    259/431.25 = 431.25/x
  3. Step 3: Cross multiply
    259x = 431.25 × 431.25
  4. Step 4: Simplify right side
    259x = 185,976.56
  5. Step 5: Solve for x
    x = 185,976.56/259
  6. Step 6: Final answer
    x = 718.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.