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Finding the Third Proportional to 143,238.38 and 298,238.63

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Solution

The third proportional to 143,238.38 and 298,238.63 is: 620,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,238.38 : 298,238.63 = 298,238.63 : x
  2. Step 2: Convert to fraction form
    143,238.38/298,238.63 = 298,238.63/x
  3. Step 3: Cross multiply
    143,238.38x = 298,238.63 × 298,238.63
  4. Step 4: Simplify right side
    143,238.38x = 88,946,277,441.89
  5. Step 5: Solve for x
    x = 88,946,277,441.89/143,238.38
  6. Step 6: Final answer
    x = 620,966.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.