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Finding the Third Proportional to 203,534 and 434,112

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Solution

The third proportional to 203,534 and 434,112 is: 925,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,534 : 434,112 = 434,112 : x
  2. Step 2: Convert to fraction form
    203,534/434,112 = 434,112/x
  3. Step 3: Cross multiply
    203,534x = 434,112 × 434,112
  4. Step 4: Simplify right side
    203,534x = 188,453,228,544
  5. Step 5: Solve for x
    x = 188,453,228,544/203,534
  6. Step 6: Final answer
    x = 925,905.39

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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.