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Finding the Third Proportional to 162.75 and 262.08

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Solution

The third proportional to 162.75 and 262.08 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.75 : 262.08 = 262.08 : x
  2. Step 2: Convert to fraction form
    162.75/262.08 = 262.08/x
  3. Step 3: Cross multiply
    162.75x = 262.08 × 262.08
  4. Step 4: Simplify right side
    162.75x = 68,684.94
  5. Step 5: Solve for x
    x = 68,684.94/162.75
  6. Step 6: Final answer
    x = 422.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.