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Finding the Third Proportional to 202,808 and 303,903

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Solution

The third proportional to 202,808 and 303,903 is: 455,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808 : 303,903 = 303,903 : x
  2. Step 2: Convert to fraction form
    202,808/303,903 = 303,903/x
  3. Step 3: Cross multiply
    202,808x = 303,903 × 303,903
  4. Step 4: Simplify right side
    202,808x = 92,357,033,409
  5. Step 5: Solve for x
    x = 92,357,033,409/202,808
  6. Step 6: Final answer
    x = 455,391.47

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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.