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Finding the Third Proportional to 167,101.75 and 347,973.25

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Solution

The third proportional to 167,101.75 and 347,973.25 is: 724,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,101.75 : 347,973.25 = 347,973.25 : x
  2. Step 2: Convert to fraction form
    167,101.75/347,973.25 = 347,973.25/x
  3. Step 3: Cross multiply
    167,101.75x = 347,973.25 × 347,973.25
  4. Step 4: Simplify right side
    167,101.75x = 121,085,382,715.56
  5. Step 5: Solve for x
    x = 121,085,382,715.56/167,101.75
  6. Step 6: Final answer
    x = 724,620.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.