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Finding the Third Proportional to 226,249.50 and 474,531

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Solution

The third proportional to 226,249.50 and 474,531 is: 995,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,249.50 : 474,531 = 474,531 : x
  2. Step 2: Convert to fraction form
    226,249.50/474,531 = 474,531/x
  3. Step 3: Cross multiply
    226,249.50x = 474,531 × 474,531
  4. Step 4: Simplify right side
    226,249.50x = 225,179,669,961
  5. Step 5: Solve for x
    x = 225,179,669,961/226,249.50
  6. Step 6: Final answer
    x = 995,271.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.