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Finding the Third Proportional to 181,622.25 and 283,471.38

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Solution

The third proportional to 181,622.25 and 283,471.38 is: 442,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,622.25 : 283,471.38 = 283,471.38 : x
  2. Step 2: Convert to fraction form
    181,622.25/283,471.38 = 283,471.38/x
  3. Step 3: Cross multiply
    181,622.25x = 283,471.38 × 283,471.38
  4. Step 4: Simplify right side
    181,622.25x = 80,356,020,444.39
  5. Step 5: Solve for x
    x = 80,356,020,444.39/181,622.25
  6. Step 6: Final answer
    x = 442,434.89

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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.