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Finding the Third Proportional to 200,709 and 275,216.91

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Solution

The third proportional to 200,709 and 275,216.91 is: 377,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709 : 275,216.91 = 275,216.91 : x
  2. Step 2: Convert to fraction form
    200,709/275,216.91 = 275,216.91/x
  3. Step 3: Cross multiply
    200,709x = 275,216.91 × 275,216.91
  4. Step 4: Simplify right side
    200,709x = 75,744,345,485.82
  5. Step 5: Solve for x
    x = 75,744,345,485.82/200,709
  6. Step 6: Final answer
    x = 377,383.90

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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.