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Finding the Third Proportional to 148,821 and 224,616

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Solution

The third proportional to 148,821 and 224,616 is: 339,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,821 : 224,616 = 224,616 : x
  2. Step 2: Convert to fraction form
    148,821/224,616 = 224,616/x
  3. Step 3: Cross multiply
    148,821x = 224,616 × 224,616
  4. Step 4: Simplify right side
    148,821x = 50,452,347,456
  5. Step 5: Solve for x
    x = 50,452,347,456/148,821
  6. Step 6: Final answer
    x = 339,013.63

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