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Finding the Third Proportional to 148,916 and 226,884

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Solution

The third proportional to 148,916 and 226,884 is: 345,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,916 : 226,884 = 226,884 : x
  2. Step 2: Convert to fraction form
    148,916/226,884 = 226,884/x
  3. Step 3: Cross multiply
    148,916x = 226,884 × 226,884
  4. Step 4: Simplify right side
    148,916x = 51,476,349,456
  5. Step 5: Solve for x
    x = 51,476,349,456/148,916
  6. Step 6: Final answer
    x = 345,673.73

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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.