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Finding the Third Proportional to 151,824.75 and 324,672.75

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Solution

The third proportional to 151,824.75 and 324,672.75 is: 694,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,824.75 : 324,672.75 = 324,672.75 : x
  2. Step 2: Convert to fraction form
    151,824.75/324,672.75 = 324,672.75/x
  3. Step 3: Cross multiply
    151,824.75x = 324,672.75 × 324,672.75
  4. Step 4: Simplify right side
    151,824.75x = 105,412,394,592.56
  5. Step 5: Solve for x
    x = 105,412,394,592.56/151,824.75
  6. Step 6: Final answer
    x = 694,303.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.