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Finding the Third Proportional to 162 and 347

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Solution

The third proportional to 162 and 347 is: 743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 347 = 347 : x
  2. Step 2: Convert to fraction form
    162/347 = 347/x
  3. Step 3: Cross multiply
    162x = 347 × 347
  4. Step 4: Simplify right side
    162x = 120,409
  5. Step 5: Solve for x
    x = 120,409/162
  6. Step 6: Final answer
    x = 743.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.