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Finding the Third Proportional to 230,192 and 476,368

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Solution

The third proportional to 230,192 and 476,368 is: 985,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,192 : 476,368 = 476,368 : x
  2. Step 2: Convert to fraction form
    230,192/476,368 = 476,368/x
  3. Step 3: Cross multiply
    230,192x = 476,368 × 476,368
  4. Step 4: Simplify right side
    230,192x = 226,926,471,424
  5. Step 5: Solve for x
    x = 226,926,471,424/230,192
  6. Step 6: Final answer
    x = 985,813.89

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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.