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Finding the Third Proportional to 227,664.75 and 334,116

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Solution

The third proportional to 227,664.75 and 334,116 is: 490,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,664.75 : 334,116 = 334,116 : x
  2. Step 2: Convert to fraction form
    227,664.75/334,116 = 334,116/x
  3. Step 3: Cross multiply
    227,664.75x = 334,116 × 334,116
  4. Step 4: Simplify right side
    227,664.75x = 111,633,501,456
  5. Step 5: Solve for x
    x = 111,633,501,456/227,664.75
  6. Step 6: Final answer
    x = 490,341.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.