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Finding the Third Proportional to 181,083.38 and 393,651.75

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Solution

The third proportional to 181,083.38 and 393,651.75 is: 855,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,083.38 : 393,651.75 = 393,651.75 : x
  2. Step 2: Convert to fraction form
    181,083.38/393,651.75 = 393,651.75/x
  3. Step 3: Cross multiply
    181,083.38x = 393,651.75 × 393,651.75
  4. Step 4: Simplify right side
    181,083.38x = 154,961,700,278.06
  5. Step 5: Solve for x
    x = 154,961,700,278.06/181,083.38
  6. Step 6: Final answer
    x = 855,747.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.