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Finding the Third Proportional to 227,295 and 336,546

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Solution

The third proportional to 227,295 and 336,546 is: 498,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,295 : 336,546 = 336,546 : x
  2. Step 2: Convert to fraction form
    227,295/336,546 = 336,546/x
  3. Step 3: Cross multiply
    227,295x = 336,546 × 336,546
  4. Step 4: Simplify right side
    227,295x = 113,263,210,116
  5. Step 5: Solve for x
    x = 113,263,210,116/227,295
  6. Step 6: Final answer
    x = 498,309.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.