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Finding the Third Proportional to 133,365.75 and 204,503.25

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Solution

The third proportional to 133,365.75 and 204,503.25 is: 313,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,365.75 : 204,503.25 = 204,503.25 : x
  2. Step 2: Convert to fraction form
    133,365.75/204,503.25 = 204,503.25/x
  3. Step 3: Cross multiply
    133,365.75x = 204,503.25 × 204,503.25
  4. Step 4: Simplify right side
    133,365.75x = 41,821,579,260.56
  5. Step 5: Solve for x
    x = 41,821,579,260.56/133,365.75
  6. Step 6: Final answer
    x = 313,585.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.