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Finding the Third Proportional to 158,481.56 and 324,253.13

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Solution

The third proportional to 158,481.56 and 324,253.13 is: 663,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,481.56 : 324,253.13 = 324,253.13 : x
  2. Step 2: Convert to fraction form
    158,481.56/324,253.13 = 324,253.13/x
  3. Step 3: Cross multiply
    158,481.56x = 324,253.13 × 324,253.13
  4. Step 4: Simplify right side
    158,481.56x = 105,140,089,072.27
  5. Step 5: Solve for x
    x = 105,140,089,072.27/158,481.56
  6. Step 6: Final answer
    x = 663,421.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.