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Finding the Third Proportional to 206,098 and 434,337

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Solution

The third proportional to 206,098 and 434,337 is: 915,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,098 : 434,337 = 434,337 : x
  2. Step 2: Convert to fraction form
    206,098/434,337 = 434,337/x
  3. Step 3: Cross multiply
    206,098x = 434,337 × 434,337
  4. Step 4: Simplify right side
    206,098x = 188,648,629,569
  5. Step 5: Solve for x
    x = 188,648,629,569/206,098
  6. Step 6: Final answer
    x = 915,334.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.