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Finding the Third Proportional to 146,691 and 222,094.41

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Solution

The third proportional to 146,691 and 222,094.41 is: 336,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691 : 222,094.41 = 222,094.41 : x
  2. Step 2: Convert to fraction form
    146,691/222,094.41 = 222,094.41/x
  3. Step 3: Cross multiply
    146,691x = 222,094.41 × 222,094.41
  4. Step 4: Simplify right side
    146,691x = 49,325,925,287.54
  5. Step 5: Solve for x
    x = 49,325,925,287.54/146,691
  6. Step 6: Final answer
    x = 336,257.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.