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Finding the Third Proportional to 182,481.19 and 400,485.94

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Solution

The third proportional to 182,481.19 and 400,485.94 is: 878,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,481.19 : 400,485.94 = 400,485.94 : x
  2. Step 2: Convert to fraction form
    182,481.19/400,485.94 = 400,485.94/x
  3. Step 3: Cross multiply
    182,481.19x = 400,485.94 × 400,485.94
  4. Step 4: Simplify right side
    182,481.19x = 160,388,986,135.25
  5. Step 5: Solve for x
    x = 160,388,986,135.25/182,481.19
  6. Step 6: Final answer
    x = 878,934.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.