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Finding the Third Proportional to 167,852.25 and 327,199.50

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Solution

The third proportional to 167,852.25 and 327,199.50 is: 637,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,852.25 : 327,199.50 = 327,199.50 : x
  2. Step 2: Convert to fraction form
    167,852.25/327,199.50 = 327,199.50/x
  3. Step 3: Cross multiply
    167,852.25x = 327,199.50 × 327,199.50
  4. Step 4: Simplify right side
    167,852.25x = 107,059,512,800.25
  5. Step 5: Solve for x
    x = 107,059,512,800.25/167,852.25
  6. Step 6: Final answer
    x = 637,819.94

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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.