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Finding the Third Proportional to 154,113.26 and 241,819.17

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Solution

The third proportional to 154,113.26 and 241,819.17 is: 379,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,113.26 : 241,819.17 = 241,819.17 : x
  2. Step 2: Convert to fraction form
    154,113.26/241,819.17 = 241,819.17/x
  3. Step 3: Cross multiply
    154,113.26x = 241,819.17 × 241,819.17
  4. Step 4: Simplify right side
    154,113.26x = 58,476,511,886.31
  5. Step 5: Solve for x
    x = 58,476,511,886.31/154,113.26
  6. Step 6: Final answer
    x = 379,438.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.