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Finding the Third Proportional to 167,489.25 and 365,043

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Solution

The third proportional to 167,489.25 and 365,043 is: 795,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,489.25 : 365,043 = 365,043 : x
  2. Step 2: Convert to fraction form
    167,489.25/365,043 = 365,043/x
  3. Step 3: Cross multiply
    167,489.25x = 365,043 × 365,043
  4. Step 4: Simplify right side
    167,489.25x = 133,256,391,849
  5. Step 5: Solve for x
    x = 133,256,391,849/167,489.25
  6. Step 6: Final answer
    x = 795,611.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.