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Finding the Third Proportional to 203,576 and 434,202

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Solution

The third proportional to 203,576 and 434,202 is: 926,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,576 : 434,202 = 434,202 : x
  2. Step 2: Convert to fraction form
    203,576/434,202 = 434,202/x
  3. Step 3: Cross multiply
    203,576x = 434,202 × 434,202
  4. Step 4: Simplify right side
    203,576x = 188,531,376,804
  5. Step 5: Solve for x
    x = 188,531,376,804/203,576
  6. Step 6: Final answer
    x = 926,098.25

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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.