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Finding the Third Proportional to 162.84 and 352.69

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Solution

The third proportional to 162.84 and 352.69 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 352.69 = 352.69 : x
  2. Step 2: Convert to fraction form
    162.84/352.69 = 352.69/x
  3. Step 3: Cross multiply
    162.84x = 352.69 × 352.69
  4. Step 4: Simplify right side
    162.84x = 124,388.47
  5. Step 5: Solve for x
    x = 124,388.47/162.84
  6. Step 6: Final answer
    x = 763.85

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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.