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Finding the Third Proportional to 204,952 and 434,192

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Solution

The third proportional to 204,952 and 434,192 is: 919,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,952 : 434,192 = 434,192 : x
  2. Step 2: Convert to fraction form
    204,952/434,192 = 434,192/x
  3. Step 3: Cross multiply
    204,952x = 434,192 × 434,192
  4. Step 4: Simplify right side
    204,952x = 188,522,692,864
  5. Step 5: Solve for x
    x = 188,522,692,864/204,952
  6. Step 6: Final answer
    x = 919,838.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.