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Finding the Third Proportional to 238,815 and 324,504.75

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Solution

The third proportional to 238,815 and 324,504.75 is: 440,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,815 : 324,504.75 = 324,504.75 : x
  2. Step 2: Convert to fraction form
    238,815/324,504.75 = 324,504.75/x
  3. Step 3: Cross multiply
    238,815x = 324,504.75 × 324,504.75
  4. Step 4: Simplify right side
    238,815x = 105,303,332,772.56
  5. Step 5: Solve for x
    x = 105,303,332,772.56/238,815
  6. Step 6: Final answer
    x = 440,941.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.