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Finding the Third Proportional to 203,540 and 435,090.75

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Solution

The third proportional to 203,540 and 435,090.75 is: 930,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540 : 435,090.75 = 435,090.75 : x
  2. Step 2: Convert to fraction form
    203,540/435,090.75 = 435,090.75/x
  3. Step 3: Cross multiply
    203,540x = 435,090.75 × 435,090.75
  4. Step 4: Simplify right side
    203,540x = 189,303,960,735.56
  5. Step 5: Solve for x
    x = 189,303,960,735.56/203,540
  6. Step 6: Final answer
    x = 930,057.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.