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Finding the Third Proportional to 148,825 and 224,622

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Solution

The third proportional to 148,825 and 224,622 is: 339,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,825 : 224,622 = 224,622 : x
  2. Step 2: Convert to fraction form
    148,825/224,622 = 224,622/x
  3. Step 3: Cross multiply
    148,825x = 224,622 × 224,622
  4. Step 4: Simplify right side
    148,825x = 50,455,042,884
  5. Step 5: Solve for x
    x = 50,455,042,884/148,825
  6. Step 6: Final answer
    x = 339,022.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.