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Finding the Third Proportional to 219,196 and 328,794

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Solution

The third proportional to 219,196 and 328,794 is: 493,191

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,196 : 328,794 = 328,794 : x
  2. Step 2: Convert to fraction form
    219,196/328,794 = 328,794/x
  3. Step 3: Cross multiply
    219,196x = 328,794 × 328,794
  4. Step 4: Simplify right side
    219,196x = 108,105,494,436
  5. Step 5: Solve for x
    x = 108,105,494,436/219,196
  6. Step 6: Final answer
    x = 493,191

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.