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Finding the Third Proportional to 181,935.75 and 283,974

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Solution

The third proportional to 181,935.75 and 283,974 is: 443,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,935.75 : 283,974 = 283,974 : x
  2. Step 2: Convert to fraction form
    181,935.75/283,974 = 283,974/x
  3. Step 3: Cross multiply
    181,935.75x = 283,974 × 283,974
  4. Step 4: Simplify right side
    181,935.75x = 80,641,232,676
  5. Step 5: Solve for x
    x = 80,641,232,676/181,935.75
  6. Step 6: Final answer
    x = 443,240.17

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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.