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Finding the Third Proportional to 162.88 and 352.94

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Solution

The third proportional to 162.88 and 352.94 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.88 : 352.94 = 352.94 : x
  2. Step 2: Convert to fraction form
    162.88/352.94 = 352.94/x
  3. Step 3: Cross multiply
    162.88x = 352.94 × 352.94
  4. Step 4: Simplify right side
    162.88x = 124,564.88
  5. Step 5: Solve for x
    x = 124,564.88/162.88
  6. Step 6: Final answer
    x = 764.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.