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Finding the Third Proportional to 144,504 and 226,980

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Solution

The third proportional to 144,504 and 226,980 is: 356,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,504 : 226,980 = 226,980 : x
  2. Step 2: Convert to fraction form
    144,504/226,980 = 226,980/x
  3. Step 3: Cross multiply
    144,504x = 226,980 × 226,980
  4. Step 4: Simplify right side
    144,504x = 51,519,920,400
  5. Step 5: Solve for x
    x = 51,519,920,400/144,504
  6. Step 6: Final answer
    x = 356,529.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.