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Finding the Third Proportional to 227,200 and 343,984

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Solution

The third proportional to 227,200 and 343,984 is: 520,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200 : 343,984 = 343,984 : x
  2. Step 2: Convert to fraction form
    227,200/343,984 = 343,984/x
  3. Step 3: Cross multiply
    227,200x = 343,984 × 343,984
  4. Step 4: Simplify right side
    227,200x = 118,324,992,256
  5. Step 5: Solve for x
    x = 118,324,992,256/227,200
  6. Step 6: Final answer
    x = 520,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.