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Finding the Third Proportional to 104,221 and 224,519

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Solution

The third proportional to 104,221 and 224,519 is: 483,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,221 : 224,519 = 224,519 : x
  2. Step 2: Convert to fraction form
    104,221/224,519 = 224,519/x
  3. Step 3: Cross multiply
    104,221x = 224,519 × 224,519
  4. Step 4: Simplify right side
    104,221x = 50,408,781,361
  5. Step 5: Solve for x
    x = 50,408,781,361/104,221
  6. Step 6: Final answer
    x = 483,672.02

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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.