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Finding the Third Proportional to 202,219 and 305,839

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Solution

The third proportional to 202,219 and 305,839 is: 462,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,219 : 305,839 = 305,839 : x
  2. Step 2: Convert to fraction form
    202,219/305,839 = 305,839/x
  3. Step 3: Cross multiply
    202,219x = 305,839 × 305,839
  4. Step 4: Simplify right side
    202,219x = 93,537,493,921
  5. Step 5: Solve for x
    x = 93,537,493,921/202,219
  6. Step 6: Final answer
    x = 462,555.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.