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Finding the Third Proportional to 148,772 and 226,655

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Solution

The third proportional to 148,772 and 226,655 is: 345,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,772 : 226,655 = 226,655 : x
  2. Step 2: Convert to fraction form
    148,772/226,655 = 226,655/x
  3. Step 3: Cross multiply
    148,772x = 226,655 × 226,655
  4. Step 4: Simplify right side
    148,772x = 51,372,489,025
  5. Step 5: Solve for x
    x = 51,372,489,025/148,772
  6. Step 6: Final answer
    x = 345,310.20

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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.