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Finding the Third Proportional to 165.56 and 344.38

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Solution

The third proportional to 165.56 and 344.38 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.56 : 344.38 = 344.38 : x
  2. Step 2: Convert to fraction form
    165.56/344.38 = 344.38/x
  3. Step 3: Cross multiply
    165.56x = 344.38 × 344.38
  4. Step 4: Simplify right side
    165.56x = 118,594.14
  5. Step 5: Solve for x
    x = 118,594.14/165.56
  6. Step 6: Final answer
    x = 716.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.