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Finding the Third Proportional to 165.94 and 354.52

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Solution

The third proportional to 165.94 and 354.52 is: 757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 354.52 = 354.52 : x
  2. Step 2: Convert to fraction form
    165.94/354.52 = 354.52/x
  3. Step 3: Cross multiply
    165.94x = 354.52 × 354.52
  4. Step 4: Simplify right side
    165.94x = 125,681.33
  5. Step 5: Solve for x
    x = 125,681.33/165.94
  6. Step 6: Final answer
    x = 757.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.