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Finding the Third Proportional to 202,381 and 301,930

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Solution

The third proportional to 202,381 and 301,930 is: 450,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381 : 301,930 = 301,930 : x
  2. Step 2: Convert to fraction form
    202,381/301,930 = 301,930/x
  3. Step 3: Cross multiply
    202,381x = 301,930 × 301,930
  4. Step 4: Simplify right side
    202,381x = 91,161,724,900
  5. Step 5: Solve for x
    x = 91,161,724,900/202,381
  6. Step 6: Final answer
    x = 450,446.06

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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.