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Finding the Third Proportional to 162 and 365.91

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Solution

The third proportional to 162 and 365.91 is: 826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 365.91 = 365.91 : x
  2. Step 2: Convert to fraction form
    162/365.91 = 365.91/x
  3. Step 3: Cross multiply
    162x = 365.91 × 365.91
  4. Step 4: Simplify right side
    162x = 133,887.38
  5. Step 5: Solve for x
    x = 133,887.38/162
  6. Step 6: Final answer
    x = 826.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.