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Finding the Third Proportional to 200,406 and 300,057

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Solution

The third proportional to 200,406 and 300,057 is: 449,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406 : 300,057 = 300,057 : x
  2. Step 2: Convert to fraction form
    200,406/300,057 = 300,057/x
  3. Step 3: Cross multiply
    200,406x = 300,057 × 300,057
  4. Step 4: Simplify right side
    200,406x = 90,034,203,249
  5. Step 5: Solve for x
    x = 90,034,203,249/200,406
  6. Step 6: Final answer
    x = 449,259.02

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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.