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Finding the Third Proportional to 163.63 and 334.63

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Solution

The third proportional to 163.63 and 334.63 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 334.63 = 334.63 : x
  2. Step 2: Convert to fraction form
    163.63/334.63 = 334.63/x
  3. Step 3: Cross multiply
    163.63x = 334.63 × 334.63
  4. Step 4: Simplify right side
    163.63x = 111,973.89
  5. Step 5: Solve for x
    x = 111,973.89/163.63
  6. Step 6: Final answer
    x = 684.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.