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Finding the Third Proportional to 199,504 and 299,455

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Solution

The third proportional to 199,504 and 299,455 is: 449,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504 : 299,455 = 299,455 : x
  2. Step 2: Convert to fraction form
    199,504/299,455 = 299,455/x
  3. Step 3: Cross multiply
    199,504x = 299,455 × 299,455
  4. Step 4: Simplify right side
    199,504x = 89,673,297,025
  5. Step 5: Solve for x
    x = 89,673,297,025/199,504
  6. Step 6: Final answer
    x = 449,481.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.