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Finding the Third Proportional to 161.63 and 332.63

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Solution

The third proportional to 161.63 and 332.63 is: 684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 332.63 = 332.63 : x
  2. Step 2: Convert to fraction form
    161.63/332.63 = 332.63/x
  3. Step 3: Cross multiply
    161.63x = 332.63 × 332.63
  4. Step 4: Simplify right side
    161.63x = 110,639.39
  5. Step 5: Solve for x
    x = 110,639.39/161.63
  6. Step 6: Final answer
    x = 684.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.