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Finding the Third Proportional to 151,903.25 and 327,180.25

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Solution

The third proportional to 151,903.25 and 327,180.25 is: 704,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,903.25 : 327,180.25 = 327,180.25 : x
  2. Step 2: Convert to fraction form
    151,903.25/327,180.25 = 327,180.25/x
  3. Step 3: Cross multiply
    151,903.25x = 327,180.25 × 327,180.25
  4. Step 4: Simplify right side
    151,903.25x = 107,046,915,990.06
  5. Step 5: Solve for x
    x = 107,046,915,990.06/151,903.25
  6. Step 6: Final answer
    x = 704,704.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.