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Finding the Third Proportional to 258.75 and 404.25

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Solution

The third proportional to 258.75 and 404.25 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 404.25 = 404.25 : x
  2. Step 2: Convert to fraction form
    258.75/404.25 = 404.25/x
  3. Step 3: Cross multiply
    258.75x = 404.25 × 404.25
  4. Step 4: Simplify right side
    258.75x = 163,418.06
  5. Step 5: Solve for x
    x = 163,418.06/258.75
  6. Step 6: Final answer
    x = 631.57

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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.