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Finding the Third Proportional to 104,220 and 224,517

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Solution

The third proportional to 104,220 and 224,517 is: 483,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,220 : 224,517 = 224,517 : x
  2. Step 2: Convert to fraction form
    104,220/224,517 = 224,517/x
  3. Step 3: Cross multiply
    104,220x = 224,517 × 224,517
  4. Step 4: Simplify right side
    104,220x = 50,407,883,289
  5. Step 5: Solve for x
    x = 50,407,883,289/104,220
  6. Step 6: Final answer
    x = 483,668.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.