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Finding the Third Proportional to 149,950 and 226,463

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Solution

The third proportional to 149,950 and 226,463 is: 342,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,950 : 226,463 = 226,463 : x
  2. Step 2: Convert to fraction form
    149,950/226,463 = 226,463/x
  3. Step 3: Cross multiply
    149,950x = 226,463 × 226,463
  4. Step 4: Simplify right side
    149,950x = 51,285,490,369
  5. Step 5: Solve for x
    x = 51,285,490,369/149,950
  6. Step 6: Final answer
    x = 342,017.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.