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Finding the Third Proportional to 258.19 and 350.26

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Solution

The third proportional to 258.19 and 350.26 is: 475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 350.26 = 350.26 : x
  2. Step 2: Convert to fraction form
    258.19/350.26 = 350.26/x
  3. Step 3: Cross multiply
    258.19x = 350.26 × 350.26
  4. Step 4: Simplify right side
    258.19x = 122,683.27
  5. Step 5: Solve for x
    x = 122,683.27/258.19
  6. Step 6: Final answer
    x = 475.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.