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Finding the Third Proportional to 202,406 and 301,965

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Solution

The third proportional to 202,406 and 301,965 is: 450,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406 : 301,965 = 301,965 : x
  2. Step 2: Convert to fraction form
    202,406/301,965 = 301,965/x
  3. Step 3: Cross multiply
    202,406x = 301,965 × 301,965
  4. Step 4: Simplify right side
    202,406x = 91,182,861,225
  5. Step 5: Solve for x
    x = 91,182,861,225/202,406
  6. Step 6: Final answer
    x = 450,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.