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Finding the Third Proportional to 165.75 and 210.50

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Solution

The third proportional to 165.75 and 210.50 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 210.50 = 210.50 : x
  2. Step 2: Convert to fraction form
    165.75/210.50 = 210.50/x
  3. Step 3: Cross multiply
    165.75x = 210.50 × 210.50
  4. Step 4: Simplify right side
    165.75x = 44,310.25
  5. Step 5: Solve for x
    x = 44,310.25/165.75
  6. Step 6: Final answer
    x = 267.33

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.