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Finding the Third Proportional to 226,098.56 and 494,570.25

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Solution

The third proportional to 226,098.56 and 494,570.25 is: 1,081,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098.56 : 494,570.25 = 494,570.25 : x
  2. Step 2: Convert to fraction form
    226,098.56/494,570.25 = 494,570.25/x
  3. Step 3: Cross multiply
    226,098.56x = 494,570.25 × 494,570.25
  4. Step 4: Simplify right side
    226,098.56x = 244,599,732,185.06
  5. Step 5: Solve for x
    x = 244,599,732,185.06/226,098.56
  6. Step 6: Final answer
    x = 1,081,827.90

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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.