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Finding the Third Proportional to 165.75 and 328.88

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Solution

The third proportional to 165.75 and 328.88 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 328.88 = 328.88 : x
  2. Step 2: Convert to fraction form
    165.75/328.88 = 328.88/x
  3. Step 3: Cross multiply
    165.75x = 328.88 × 328.88
  4. Step 4: Simplify right side
    165.75x = 108,158.77
  5. Step 5: Solve for x
    x = 108,158.77/165.75
  6. Step 6: Final answer
    x = 652.54

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.