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Finding the Third Proportional to 229,968 and 336,204

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Solution

The third proportional to 229,968 and 336,204 is: 491,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968 : 336,204 = 336,204 : x
  2. Step 2: Convert to fraction form
    229,968/336,204 = 336,204/x
  3. Step 3: Cross multiply
    229,968x = 336,204 × 336,204
  4. Step 4: Simplify right side
    229,968x = 113,033,129,616
  5. Step 5: Solve for x
    x = 113,033,129,616/229,968
  6. Step 6: Final answer
    x = 491,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.