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Finding the Third Proportional to 207,906.75 and 273,000.38

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Solution

The third proportional to 207,906.75 and 273,000.38 is: 358,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.75 : 273,000.38 = 273,000.38 : x
  2. Step 2: Convert to fraction form
    207,906.75/273,000.38 = 273,000.38/x
  3. Step 3: Cross multiply
    207,906.75x = 273,000.38 × 273,000.38
  4. Step 4: Simplify right side
    207,906.75x = 74,529,204,750.14
  5. Step 5: Solve for x
    x = 74,529,204,750.14/207,906.75
  6. Step 6: Final answer
    x = 358,474.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.