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Finding the Third Proportional to 162 and 243.42

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Solution

The third proportional to 162 and 243.42 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 243.42 = 243.42 : x
  2. Step 2: Convert to fraction form
    162/243.42 = 243.42/x
  3. Step 3: Cross multiply
    162x = 243.42 × 243.42
  4. Step 4: Simplify right side
    162x = 59,254.21
  5. Step 5: Solve for x
    x = 59,254.21/162
  6. Step 6: Final answer
    x = 365.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.