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Finding the Third Proportional to 202,209 and 303,962

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Solution

The third proportional to 202,209 and 303,962 is: 456,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209 : 303,962 = 303,962 : x
  2. Step 2: Convert to fraction form
    202,209/303,962 = 303,962/x
  3. Step 3: Cross multiply
    202,209x = 303,962 × 303,962
  4. Step 4: Simplify right side
    202,209x = 92,392,897,444
  5. Step 5: Solve for x
    x = 92,392,897,444/202,209
  6. Step 6: Final answer
    x = 456,917.83

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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.