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Finding the Third Proportional to 188,354 and 444,545

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Solution

The third proportional to 188,354 and 444,545 is: 1,049,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354 : 444,545 = 444,545 : x
  2. Step 2: Convert to fraction form
    188,354/444,545 = 444,545/x
  3. Step 3: Cross multiply
    188,354x = 444,545 × 444,545
  4. Step 4: Simplify right side
    188,354x = 197,620,257,025
  5. Step 5: Solve for x
    x = 197,620,257,025/188,354
  6. Step 6: Final answer
    x = 1,049,195.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.