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Finding the Third Proportional to 167.70 and 262.93

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Solution

The third proportional to 167.70 and 262.93 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 262.93 = 262.93 : x
  2. Step 2: Convert to fraction form
    167.70/262.93 = 262.93/x
  3. Step 3: Cross multiply
    167.70x = 262.93 × 262.93
  4. Step 4: Simplify right side
    167.70x = 69,134.07
  5. Step 5: Solve for x
    x = 69,134.07/167.70
  6. Step 6: Final answer
    x = 412.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.