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Finding the Third Proportional to 152,968 and 336,192

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Solution

The third proportional to 152,968 and 336,192 is: 738,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,968 : 336,192 = 336,192 : x
  2. Step 2: Convert to fraction form
    152,968/336,192 = 336,192/x
  3. Step 3: Cross multiply
    152,968x = 336,192 × 336,192
  4. Step 4: Simplify right side
    152,968x = 113,025,060,864
  5. Step 5: Solve for x
    x = 113,025,060,864/152,968
  6. Step 6: Final answer
    x = 738,880.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.