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Finding the Third Proportional to 167,321.63 and 326,236.50

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Solution

The third proportional to 167,321.63 and 326,236.50 is: 636,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,321.63 : 326,236.50 = 326,236.50 : x
  2. Step 2: Convert to fraction form
    167,321.63/326,236.50 = 326,236.50/x
  3. Step 3: Cross multiply
    167,321.63x = 326,236.50 × 326,236.50
  4. Step 4: Simplify right side
    167,321.63x = 106,430,253,932.25
  5. Step 5: Solve for x
    x = 106,430,253,932.25/167,321.63
  6. Step 6: Final answer
    x = 636,081.88

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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.