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Finding the Third Proportional to 105,334.45 and 230,375.39

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Solution

The third proportional to 105,334.45 and 230,375.39 is: 503,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,334.45 : 230,375.39 = 230,375.39 : x
  2. Step 2: Convert to fraction form
    105,334.45/230,375.39 = 230,375.39/x
  3. Step 3: Cross multiply
    105,334.45x = 230,375.39 × 230,375.39
  4. Step 4: Simplify right side
    105,334.45x = 53,072,820,605.62
  5. Step 5: Solve for x
    x = 53,072,820,605.62/105,334.45
  6. Step 6: Final answer
    x = 503,850.54

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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.