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Finding the Third Proportional to 165.94 and 345.94

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Solution

The third proportional to 165.94 and 345.94 is: 721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 345.94 = 345.94 : x
  2. Step 2: Convert to fraction form
    165.94/345.94 = 345.94/x
  3. Step 3: Cross multiply
    165.94x = 345.94 × 345.94
  4. Step 4: Simplify right side
    165.94x = 119,672.75
  5. Step 5: Solve for x
    x = 119,672.75/165.94
  6. Step 6: Final answer
    x = 721.19

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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.