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Finding the Third Proportional to 104,452 and 225,529

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Solution

The third proportional to 104,452 and 225,529 is: 486,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,452 : 225,529 = 225,529 : x
  2. Step 2: Convert to fraction form
    104,452/225,529 = 225,529/x
  3. Step 3: Cross multiply
    104,452x = 225,529 × 225,529
  4. Step 4: Simplify right side
    104,452x = 50,863,329,841
  5. Step 5: Solve for x
    x = 50,863,329,841/104,452
  6. Step 6: Final answer
    x = 486,954.10

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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.