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Finding the Third Proportional to 182,674 and 400,268

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Solution

The third proportional to 182,674 and 400,268 is: 877,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,674 : 400,268 = 400,268 : x
  2. Step 2: Convert to fraction form
    182,674/400,268 = 400,268/x
  3. Step 3: Cross multiply
    182,674x = 400,268 × 400,268
  4. Step 4: Simplify right side
    182,674x = 160,214,471,824
  5. Step 5: Solve for x
    x = 160,214,471,824/182,674
  6. Step 6: Final answer
    x = 877,051.31

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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.