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Finding the Third Proportional to 213,196 and 330,162

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Solution

The third proportional to 213,196 and 330,162 is: 511,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,196 : 330,162 = 330,162 : x
  2. Step 2: Convert to fraction form
    213,196/330,162 = 330,162/x
  3. Step 3: Cross multiply
    213,196x = 330,162 × 330,162
  4. Step 4: Simplify right side
    213,196x = 109,006,946,244
  5. Step 5: Solve for x
    x = 109,006,946,244/213,196
  6. Step 6: Final answer
    x = 511,299.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.