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Finding the Third Proportional to 258.19 and 433.69

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Solution

The third proportional to 258.19 and 433.69 is: 728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 433.69 = 433.69 : x
  2. Step 2: Convert to fraction form
    258.19/433.69 = 433.69/x
  3. Step 3: Cross multiply
    258.19x = 433.69 × 433.69
  4. Step 4: Simplify right side
    258.19x = 188,084.85
  5. Step 5: Solve for x
    x = 188,084.85/258.19
  6. Step 6: Final answer
    x = 728.48

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.