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Finding the Third Proportional to 230,128 and 476,234

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Solution

The third proportional to 230,128 and 476,234 is: 985,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,128 : 476,234 = 476,234 : x
  2. Step 2: Convert to fraction form
    230,128/476,234 = 476,234/x
  3. Step 3: Cross multiply
    230,128x = 476,234 × 476,234
  4. Step 4: Simplify right side
    230,128x = 226,798,822,756
  5. Step 5: Solve for x
    x = 226,798,822,756/230,128
  6. Step 6: Final answer
    x = 985,533.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.