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Finding the Third Proportional to 200,049 and 472,231.50

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Solution

The third proportional to 200,049 and 472,231.50 is: 1,114,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,049 : 472,231.50 = 472,231.50 : x
  2. Step 2: Convert to fraction form
    200,049/472,231.50 = 472,231.50/x
  3. Step 3: Cross multiply
    200,049x = 472,231.50 × 472,231.50
  4. Step 4: Simplify right side
    200,049x = 223,002,589,592.25
  5. Step 5: Solve for x
    x = 223,002,589,592.25/200,049
  6. Step 6: Final answer
    x = 1,114,739.84

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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.