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Finding the Third Proportional to 226,282.50 and 490,131

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Solution

The third proportional to 226,282.50 and 490,131 is: 1,061,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,282.50 : 490,131 = 490,131 : x
  2. Step 2: Convert to fraction form
    226,282.50/490,131 = 490,131/x
  3. Step 3: Cross multiply
    226,282.50x = 490,131 × 490,131
  4. Step 4: Simplify right side
    226,282.50x = 240,228,397,161
  5. Step 5: Solve for x
    x = 240,228,397,161/226,282.50
  6. Step 6: Final answer
    x = 1,061,630.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.