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Finding the Third Proportional to 203,539.57 and 434,131.25

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Solution

The third proportional to 203,539.57 and 434,131.25 is: 925,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,539.57 : 434,131.25 = 434,131.25 : x
  2. Step 2: Convert to fraction form
    203,539.57/434,131.25 = 434,131.25/x
  3. Step 3: Cross multiply
    203,539.57x = 434,131.25 × 434,131.25
  4. Step 4: Simplify right side
    203,539.57x = 188,469,939,258.86
  5. Step 5: Solve for x
    x = 188,469,939,258.86/203,539.57
  6. Step 6: Final answer
    x = 925,962.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.