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Finding the Third Proportional to 164.63 and 362.39

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Solution

The third proportional to 164.63 and 362.39 is: 797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 362.39 = 362.39 : x
  2. Step 2: Convert to fraction form
    164.63/362.39 = 362.39/x
  3. Step 3: Cross multiply
    164.63x = 362.39 × 362.39
  4. Step 4: Simplify right side
    164.63x = 131,326.97
  5. Step 5: Solve for x
    x = 131,326.97/164.63
  6. Step 6: Final answer
    x = 797.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.