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Finding the Third Proportional to 202,305 and 303,976

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Solution

The third proportional to 202,305 and 303,976 is: 456,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305 : 303,976 = 303,976 : x
  2. Step 2: Convert to fraction form
    202,305/303,976 = 303,976/x
  3. Step 3: Cross multiply
    202,305x = 303,976 × 303,976
  4. Step 4: Simplify right side
    202,305x = 92,401,408,576
  5. Step 5: Solve for x
    x = 92,401,408,576/202,305
  6. Step 6: Final answer
    x = 456,743.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.