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Finding the Third Proportional to 227,796 and 347,310

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Solution

The third proportional to 227,796 and 347,310 is: 529,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,796 : 347,310 = 347,310 : x
  2. Step 2: Convert to fraction form
    227,796/347,310 = 347,310/x
  3. Step 3: Cross multiply
    227,796x = 347,310 × 347,310
  4. Step 4: Simplify right side
    227,796x = 120,624,236,100
  5. Step 5: Solve for x
    x = 120,624,236,100/227,796
  6. Step 6: Final answer
    x = 529,527.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.