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Finding the Third Proportional to 144,121 and 230,234

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Solution

The third proportional to 144,121 and 230,234 is: 367,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,121 : 230,234 = 230,234 : x
  2. Step 2: Convert to fraction form
    144,121/230,234 = 230,234/x
  3. Step 3: Cross multiply
    144,121x = 230,234 × 230,234
  4. Step 4: Simplify right side
    144,121x = 53,007,694,756
  5. Step 5: Solve for x
    x = 53,007,694,756/144,121
  6. Step 6: Final answer
    x = 367,799.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.