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Finding the Third Proportional to 148,832 and 226,742

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Solution

The third proportional to 148,832 and 226,742 is: 345,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,832 : 226,742 = 226,742 : x
  2. Step 2: Convert to fraction form
    148,832/226,742 = 226,742/x
  3. Step 3: Cross multiply
    148,832x = 226,742 × 226,742
  4. Step 4: Simplify right side
    148,832x = 51,411,934,564
  5. Step 5: Solve for x
    x = 51,411,934,564/148,832
  6. Step 6: Final answer
    x = 345,436.03

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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.