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Finding the Third Proportional to 227,664.50 and 334,115

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Solution

The third proportional to 227,664.50 and 334,115 is: 490,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,664.50 : 334,115 = 334,115 : x
  2. Step 2: Convert to fraction form
    227,664.50/334,115 = 334,115/x
  3. Step 3: Cross multiply
    227,664.50x = 334,115 × 334,115
  4. Step 4: Simplify right side
    227,664.50x = 111,632,833,225
  5. Step 5: Solve for x
    x = 111,632,833,225/227,664.50
  6. Step 6: Final answer
    x = 490,339.22

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Why These Related Problems?

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