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Finding the Third Proportional to 104,586 and 229,131

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Solution

The third proportional to 104,586 and 229,131 is: 501,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,586 : 229,131 = 229,131 : x
  2. Step 2: Convert to fraction form
    104,586/229,131 = 229,131/x
  3. Step 3: Cross multiply
    104,586x = 229,131 × 229,131
  4. Step 4: Simplify right side
    104,586x = 52,501,015,161
  5. Step 5: Solve for x
    x = 52,501,015,161/104,586
  6. Step 6: Final answer
    x = 501,988.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.