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Finding the Third Proportional to 149,472 and 226,977

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Solution

The third proportional to 149,472 and 226,977 is: 344,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472 : 226,977 = 226,977 : x
  2. Step 2: Convert to fraction form
    149,472/226,977 = 226,977/x
  3. Step 3: Cross multiply
    149,472x = 226,977 × 226,977
  4. Step 4: Simplify right side
    149,472x = 51,518,558,529
  5. Step 5: Solve for x
    x = 51,518,558,529/149,472
  6. Step 6: Final answer
    x = 344,670.30

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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.