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Finding the Third Proportional to 148,503 and 196,917

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Solution

The third proportional to 148,503 and 196,917 is: 261,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,503 : 196,917 = 196,917 : x
  2. Step 2: Convert to fraction form
    148,503/196,917 = 196,917/x
  3. Step 3: Cross multiply
    148,503x = 196,917 × 196,917
  4. Step 4: Simplify right side
    148,503x = 38,776,304,889
  5. Step 5: Solve for x
    x = 38,776,304,889/148,503
  6. Step 6: Final answer
    x = 261,114.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.