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Finding the Third Proportional to 227,722.50 and 334,194

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Solution

The third proportional to 227,722.50 and 334,194 is: 490,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,722.50 : 334,194 = 334,194 : x
  2. Step 2: Convert to fraction form
    227,722.50/334,194 = 334,194/x
  3. Step 3: Cross multiply
    227,722.50x = 334,194 × 334,194
  4. Step 4: Simplify right side
    227,722.50x = 111,685,629,636
  5. Step 5: Solve for x
    x = 111,685,629,636/227,722.50
  6. Step 6: Final answer
    x = 490,446.18

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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.