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Finding the Third Proportional to 161.16 and 347.73

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Solution

The third proportional to 161.16 and 347.73 is: 750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 347.73 = 347.73 : x
  2. Step 2: Convert to fraction form
    161.16/347.73 = 347.73/x
  3. Step 3: Cross multiply
    161.16x = 347.73 × 347.73
  4. Step 4: Simplify right side
    161.16x = 120,916.48
  5. Step 5: Solve for x
    x = 120,916.48/161.16
  6. Step 6: Final answer
    x = 750.31

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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.