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Finding the Third Proportional to 105,179.25 and 226,396.50

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Solution

The third proportional to 105,179.25 and 226,396.50 is: 487,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,179.25 : 226,396.50 = 226,396.50 : x
  2. Step 2: Convert to fraction form
    105,179.25/226,396.50 = 226,396.50/x
  3. Step 3: Cross multiply
    105,179.25x = 226,396.50 × 226,396.50
  4. Step 4: Simplify right side
    105,179.25x = 51,255,375,212.25
  5. Step 5: Solve for x
    x = 51,255,375,212.25/105,179.25
  6. Step 6: Final answer
    x = 487,314.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.