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Finding the Third Proportional to 141,906.94 and 213,458.63

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Solution

The third proportional to 141,906.94 and 213,458.63 is: 321,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,906.94 : 213,458.63 = 213,458.63 : x
  2. Step 2: Convert to fraction form
    141,906.94/213,458.63 = 213,458.63/x
  3. Step 3: Cross multiply
    141,906.94x = 213,458.63 × 213,458.63
  4. Step 4: Simplify right side
    141,906.94x = 45,564,584,586.89
  5. Step 5: Solve for x
    x = 45,564,584,586.89/141,906.94
  6. Step 6: Final answer
    x = 321,087.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.