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Finding the Third Proportional to 94,250.25 and 203,257.69

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Solution

The third proportional to 94,250.25 and 203,257.69 is: 438,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,250.25 : 203,257.69 = 203,257.69 : x
  2. Step 2: Convert to fraction form
    94,250.25/203,257.69 = 203,257.69/x
  3. Step 3: Cross multiply
    94,250.25x = 203,257.69 × 203,257.69
  4. Step 4: Simplify right side
    94,250.25x = 41,313,687,527.85
  5. Step 5: Solve for x
    x = 41,313,687,527.85/94,250.25
  6. Step 6: Final answer
    x = 438,340.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.