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Finding the Third Proportional to 227,096 and 343,788

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Solution

The third proportional to 227,096 and 343,788 is: 520,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,096 : 343,788 = 343,788 : x
  2. Step 2: Convert to fraction form
    227,096/343,788 = 343,788/x
  3. Step 3: Cross multiply
    227,096x = 343,788 × 343,788
  4. Step 4: Simplify right side
    227,096x = 118,190,188,944
  5. Step 5: Solve for x
    x = 118,190,188,944/227,096
  6. Step 6: Final answer
    x = 520,441.53

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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.