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Finding the Third Proportional to 148,845 and 224,634

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Solution

The third proportional to 148,845 and 224,634 is: 339,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,845 : 224,634 = 224,634 : x
  2. Step 2: Convert to fraction form
    148,845/224,634 = 224,634/x
  3. Step 3: Cross multiply
    148,845x = 224,634 × 224,634
  4. Step 4: Simplify right side
    148,845x = 50,460,433,956
  5. Step 5: Solve for x
    x = 50,460,433,956/148,845
  6. Step 6: Final answer
    x = 339,013.30

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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.