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Finding the Third Proportional to 200,769 and 275,318

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Solution

The third proportional to 200,769 and 275,318 is: 377,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769 : 275,318 = 275,318 : x
  2. Step 2: Convert to fraction form
    200,769/275,318 = 275,318/x
  3. Step 3: Cross multiply
    200,769x = 275,318 × 275,318
  4. Step 4: Simplify right side
    200,769x = 75,800,001,124
  5. Step 5: Solve for x
    x = 75,800,001,124/200,769
  6. Step 6: Final answer
    x = 377,548.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.