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Finding the Third Proportional to 148,760 and 226,630

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Solution

The third proportional to 148,760 and 226,630 is: 345,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,760 : 226,630 = 226,630 : x
  2. Step 2: Convert to fraction form
    148,760/226,630 = 226,630/x
  3. Step 3: Cross multiply
    148,760x = 226,630 × 226,630
  4. Step 4: Simplify right side
    148,760x = 51,361,156,900
  5. Step 5: Solve for x
    x = 51,361,156,900/148,760
  6. Step 6: Final answer
    x = 345,261.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.