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Finding the Third Proportional to 165.75 and 258.94

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Solution

The third proportional to 165.75 and 258.94 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 258.94 = 258.94 : x
  2. Step 2: Convert to fraction form
    165.75/258.94 = 258.94/x
  3. Step 3: Cross multiply
    165.75x = 258.94 × 258.94
  4. Step 4: Simplify right side
    165.75x = 67,048.63
  5. Step 5: Solve for x
    x = 67,048.63/165.75
  6. Step 6: Final answer
    x = 404.52

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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.