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Finding the Third Proportional to 200,047 and 283,057

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Solution

The third proportional to 200,047 and 283,057 is: 400,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047 : 283,057 = 283,057 : x
  2. Step 2: Convert to fraction form
    200,047/283,057 = 283,057/x
  3. Step 3: Cross multiply
    200,047x = 283,057 × 283,057
  4. Step 4: Simplify right side
    200,047x = 80,121,265,249
  5. Step 5: Solve for x
    x = 80,121,265,249/200,047
  6. Step 6: Final answer
    x = 400,512.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.