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Finding the Third Proportional to 201,984 and 434,976

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Solution

The third proportional to 201,984 and 434,976 is: 936,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984 : 434,976 = 434,976 : x
  2. Step 2: Convert to fraction form
    201,984/434,976 = 434,976/x
  3. Step 3: Cross multiply
    201,984x = 434,976 × 434,976
  4. Step 4: Simplify right side
    201,984x = 189,204,120,576
  5. Step 5: Solve for x
    x = 189,204,120,576/201,984
  6. Step 6: Final answer
    x = 936,728.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.