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Finding the Third Proportional to 154,396.13 and 182,447.44

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Solution

The third proportional to 154,396.13 and 182,447.44 is: 215,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,396.13 : 182,447.44 = 182,447.44 : x
  2. Step 2: Convert to fraction form
    154,396.13/182,447.44 = 182,447.44/x
  3. Step 3: Cross multiply
    154,396.13x = 182,447.44 × 182,447.44
  4. Step 4: Simplify right side
    154,396.13x = 33,287,067,450.32
  5. Step 5: Solve for x
    x = 33,287,067,450.32/154,396.13
  6. Step 6: Final answer
    x = 215,595.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.