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Finding the Third Proportional to 181,622 and 283,471

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Solution

The third proportional to 181,622 and 283,471 is: 442,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,622 : 283,471 = 283,471 : x
  2. Step 2: Convert to fraction form
    181,622/283,471 = 283,471/x
  3. Step 3: Cross multiply
    181,622x = 283,471 × 283,471
  4. Step 4: Simplify right side
    181,622x = 80,355,807,841
  5. Step 5: Solve for x
    x = 80,355,807,841/181,622
  6. Step 6: Final answer
    x = 442,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.