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Finding the Third Proportional to 182,932 and 400,844

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Solution

The third proportional to 182,932 and 400,844 is: 878,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,932 : 400,844 = 400,844 : x
  2. Step 2: Convert to fraction form
    182,932/400,844 = 400,844/x
  3. Step 3: Cross multiply
    182,932x = 400,844 × 400,844
  4. Step 4: Simplify right side
    182,932x = 160,675,912,336
  5. Step 5: Solve for x
    x = 160,675,912,336/182,932
  6. Step 6: Final answer
    x = 878,336.83

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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.