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Finding the Third Proportional to 71,396.44 and 152,634.38

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Solution

The third proportional to 71,396.44 and 152,634.38 is: 326,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.44 : 152,634.38 = 152,634.38 : x
  2. Step 2: Convert to fraction form
    71,396.44/152,634.38 = 152,634.38/x
  3. Step 3: Cross multiply
    71,396.44x = 152,634.38 × 152,634.38
  4. Step 4: Simplify right side
    71,396.44x = 23,297,252,431.64
  5. Step 5: Solve for x
    x = 23,297,252,431.64/71,396.44
  6. Step 6: Final answer
    x = 326,308.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.