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Finding the Third Proportional to 146,430 and 222,738

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Solution

The third proportional to 146,430 and 222,738 is: 338,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,430 : 222,738 = 222,738 : x
  2. Step 2: Convert to fraction form
    146,430/222,738 = 222,738/x
  3. Step 3: Cross multiply
    146,430x = 222,738 × 222,738
  4. Step 4: Simplify right side
    146,430x = 49,612,216,644
  5. Step 5: Solve for x
    x = 49,612,216,644/146,430
  6. Step 6: Final answer
    x = 338,811.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.