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Finding the Third Proportional to 161.63 and 349.25

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Solution

The third proportional to 161.63 and 349.25 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 349.25 = 349.25 : x
  2. Step 2: Convert to fraction form
    161.63/349.25 = 349.25/x
  3. Step 3: Cross multiply
    161.63x = 349.25 × 349.25
  4. Step 4: Simplify right side
    161.63x = 121,975.56
  5. Step 5: Solve for x
    x = 121,975.56/161.63
  6. Step 6: Final answer
    x = 754.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.