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Finding the Third Proportional to 104,519 and 225,808

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Solution

The third proportional to 104,519 and 225,808 is: 487,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,519 : 225,808 = 225,808 : x
  2. Step 2: Convert to fraction form
    104,519/225,808 = 225,808/x
  3. Step 3: Cross multiply
    104,519x = 225,808 × 225,808
  4. Step 4: Simplify right side
    104,519x = 50,989,252,864
  5. Step 5: Solve for x
    x = 50,989,252,864/104,519
  6. Step 6: Final answer
    x = 487,846.73

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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.