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Finding the Third Proportional to 200,745 and 275,271

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Solution

The third proportional to 200,745 and 275,271 is: 377,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 275,271 = 275,271 : x
  2. Step 2: Convert to fraction form
    200,745/275,271 = 275,271/x
  3. Step 3: Cross multiply
    200,745x = 275,271 × 275,271
  4. Step 4: Simplify right side
    200,745x = 75,774,123,441
  5. Step 5: Solve for x
    x = 75,774,123,441/200,745
  6. Step 6: Final answer
    x = 377,464.56

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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.