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Finding the Third Proportional to 203,966 and 448,708.50

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Solution

The third proportional to 203,966 and 448,708.50 is: 987,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966 : 448,708.50 = 448,708.50 : x
  2. Step 2: Convert to fraction form
    203,966/448,708.50 = 448,708.50/x
  3. Step 3: Cross multiply
    203,966x = 448,708.50 × 448,708.50
  4. Step 4: Simplify right side
    203,966x = 201,339,317,972.25
  5. Step 5: Solve for x
    x = 201,339,317,972.25/203,966
  6. Step 6: Final answer
    x = 987,121.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.