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Finding the Third Proportional to 224,214 and 327,696

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Solution

The third proportional to 224,214 and 327,696 is: 478,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,214 : 327,696 = 327,696 : x
  2. Step 2: Convert to fraction form
    224,214/327,696 = 327,696/x
  3. Step 3: Cross multiply
    224,214x = 327,696 × 327,696
  4. Step 4: Simplify right side
    224,214x = 107,384,668,416
  5. Step 5: Solve for x
    x = 107,384,668,416/224,214
  6. Step 6: Final answer
    x = 478,938.28

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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.