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Finding the Third Proportional to 135,735.75 and 224,930.25

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Solution

The third proportional to 135,735.75 and 224,930.25 is: 372,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,735.75 : 224,930.25 = 224,930.25 : x
  2. Step 2: Convert to fraction form
    135,735.75/224,930.25 = 224,930.25/x
  3. Step 3: Cross multiply
    135,735.75x = 224,930.25 × 224,930.25
  4. Step 4: Simplify right side
    135,735.75x = 50,593,617,365.06
  5. Step 5: Solve for x
    x = 50,593,617,365.06/135,735.75
  6. Step 6: Final answer
    x = 372,736.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.