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Finding the Third Proportional to 104,021 and 224,634

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Solution

The third proportional to 104,021 and 224,634 is: 485,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,021 : 224,634 = 224,634 : x
  2. Step 2: Convert to fraction form
    104,021/224,634 = 224,634/x
  3. Step 3: Cross multiply
    104,021x = 224,634 × 224,634
  4. Step 4: Simplify right side
    104,021x = 50,460,433,956
  5. Step 5: Solve for x
    x = 50,460,433,956/104,021
  6. Step 6: Final answer
    x = 485,098.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.