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Finding the Third Proportional to 219,168 and 330,196

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Solution

The third proportional to 219,168 and 330,196 is: 497,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,168 : 330,196 = 330,196 : x
  2. Step 2: Convert to fraction form
    219,168/330,196 = 330,196/x
  3. Step 3: Cross multiply
    219,168x = 330,196 × 330,196
  4. Step 4: Simplify right side
    219,168x = 109,029,398,416
  5. Step 5: Solve for x
    x = 109,029,398,416/219,168
  6. Step 6: Final answer
    x = 497,469.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.