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Finding the Third Proportional to 84,074 and 180,904

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Solution

The third proportional to 84,074 and 180,904 is: 389,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074 : 180,904 = 180,904 : x
  2. Step 2: Convert to fraction form
    84,074/180,904 = 180,904/x
  3. Step 3: Cross multiply
    84,074x = 180,904 × 180,904
  4. Step 4: Simplify right side
    84,074x = 32,726,257,216
  5. Step 5: Solve for x
    x = 32,726,257,216/84,074
  6. Step 6: Final answer
    x = 389,255.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.