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Finding the Third Proportional to 257.88 and 611.69

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Solution

The third proportional to 257.88 and 611.69 is: 1,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 611.69 = 611.69 : x
  2. Step 2: Convert to fraction form
    257.88/611.69 = 611.69/x
  3. Step 3: Cross multiply
    257.88x = 611.69 × 611.69
  4. Step 4: Simplify right side
    257.88x = 374,161.60
  5. Step 5: Solve for x
    x = 374,161.60/257.88
  6. Step 6: Final answer
    x = 1,450.94

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.