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Finding the Third Proportional to 151,759.41 and 327,834

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Solution

The third proportional to 151,759.41 and 327,834 is: 708,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,759.41 : 327,834 = 327,834 : x
  2. Step 2: Convert to fraction form
    151,759.41/327,834 = 327,834/x
  3. Step 3: Cross multiply
    151,759.41x = 327,834 × 327,834
  4. Step 4: Simplify right side
    151,759.41x = 107,475,131,556
  5. Step 5: Solve for x
    x = 107,475,131,556/151,759.41
  6. Step 6: Final answer
    x = 708,194.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.