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Finding the Third Proportional to 167,176 and 325,980

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Solution

The third proportional to 167,176 and 325,980 is: 635,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,176 : 325,980 = 325,980 : x
  2. Step 2: Convert to fraction form
    167,176/325,980 = 325,980/x
  3. Step 3: Cross multiply
    167,176x = 325,980 × 325,980
  4. Step 4: Simplify right side
    167,176x = 106,262,960,400
  5. Step 5: Solve for x
    x = 106,262,960,400/167,176
  6. Step 6: Final answer
    x = 635,635.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.