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Finding the Third Proportional to 181,623.52 and 399,338.23

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Solution

The third proportional to 181,623.52 and 399,338.23 is: 878,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,623.52 : 399,338.23 = 399,338.23 : x
  2. Step 2: Convert to fraction form
    181,623.52/399,338.23 = 399,338.23/x
  3. Step 3: Cross multiply
    181,623.52x = 399,338.23 × 399,338.23
  4. Step 4: Simplify right side
    181,623.52x = 159,471,019,194.08
  5. Step 5: Solve for x
    x = 159,471,019,194.08/181,623.52
  6. Step 6: Final answer
    x = 878,030.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.