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Finding the Third Proportional to 104,584.92 and 226,557.42

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Solution

The third proportional to 104,584.92 and 226,557.42 is: 490,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,584.92 : 226,557.42 = 226,557.42 : x
  2. Step 2: Convert to fraction form
    104,584.92/226,557.42 = 226,557.42/x
  3. Step 3: Cross multiply
    104,584.92x = 226,557.42 × 226,557.42
  4. Step 4: Simplify right side
    104,584.92x = 51,328,265,406.65
  5. Step 5: Solve for x
    x = 51,328,265,406.65/104,584.92
  6. Step 6: Final answer
    x = 490,780.74

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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.