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Finding the Third Proportional to 203,238.56 and 301,910.06

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Solution

The third proportional to 203,238.56 and 301,910.06 is: 448,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,238.56 : 301,910.06 = 301,910.06 : x
  2. Step 2: Convert to fraction form
    203,238.56/301,910.06 = 301,910.06/x
  3. Step 3: Cross multiply
    203,238.56x = 301,910.06 × 301,910.06
  4. Step 4: Simplify right side
    203,238.56x = 91,149,685,838.75
  5. Step 5: Solve for x
    x = 91,149,685,838.75/203,238.56
  6. Step 6: Final answer
    x = 448,486.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.