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Finding the Third Proportional to 241,342.50 and 327,770.25

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Solution

The third proportional to 241,342.50 and 327,770.25 is: 445,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,342.50 : 327,770.25 = 327,770.25 : x
  2. Step 2: Convert to fraction form
    241,342.50/327,770.25 = 327,770.25/x
  3. Step 3: Cross multiply
    241,342.50x = 327,770.25 × 327,770.25
  4. Step 4: Simplify right side
    241,342.50x = 107,433,336,785.06
  5. Step 5: Solve for x
    x = 107,433,336,785.06/241,342.50
  6. Step 6: Final answer
    x = 445,148.85

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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.