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Finding the Third Proportional to 167,171.63 and 325,970.63

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Solution

The third proportional to 167,171.63 and 325,970.63 is: 635,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,171.63 : 325,970.63 = 325,970.63 : x
  2. Step 2: Convert to fraction form
    167,171.63/325,970.63 = 325,970.63/x
  3. Step 3: Cross multiply
    167,171.63x = 325,970.63 × 325,970.63
  4. Step 4: Simplify right side
    167,171.63x = 106,256,848,362.89
  5. Step 5: Solve for x
    x = 106,256,848,362.89/167,171.63
  6. Step 6: Final answer
    x = 635,615.33

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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.