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Finding the Third Proportional to 144,040.88 and 207,481.88

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Solution

The third proportional to 144,040.88 and 207,481.88 is: 298,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,040.88 : 207,481.88 = 207,481.88 : x
  2. Step 2: Convert to fraction form
    144,040.88/207,481.88 = 207,481.88/x
  3. Step 3: Cross multiply
    144,040.88x = 207,481.88 × 207,481.88
  4. Step 4: Simplify right side
    144,040.88x = 43,048,728,453.52
  5. Step 5: Solve for x
    x = 43,048,728,453.52/144,040.88
  6. Step 6: Final answer
    x = 298,864.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.