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Finding the Third Proportional to 167 and 260.50

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Solution

The third proportional to 167 and 260.50 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 260.50 = 260.50 : x
  2. Step 2: Convert to fraction form
    167/260.50 = 260.50/x
  3. Step 3: Cross multiply
    167x = 260.50 × 260.50
  4. Step 4: Simplify right side
    167x = 67,860.25
  5. Step 5: Solve for x
    x = 67,860.25/167
  6. Step 6: Final answer
    x = 406.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.