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Finding the Third Proportional to 227,612 and 351,684

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Solution

The third proportional to 227,612 and 351,684 is: 543,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,612 : 351,684 = 351,684 : x
  2. Step 2: Convert to fraction form
    227,612/351,684 = 351,684/x
  3. Step 3: Cross multiply
    227,612x = 351,684 × 351,684
  4. Step 4: Simplify right side
    227,612x = 123,681,635,856
  5. Step 5: Solve for x
    x = 123,681,635,856/227,612
  6. Step 6: Final answer
    x = 543,388.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.