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Finding the Third Proportional to 136,227 and 296,976

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Solution

The third proportional to 136,227 and 296,976 is: 647,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,227 : 296,976 = 296,976 : x
  2. Step 2: Convert to fraction form
    136,227/296,976 = 296,976/x
  3. Step 3: Cross multiply
    136,227x = 296,976 × 296,976
  4. Step 4: Simplify right side
    136,227x = 88,194,744,576
  5. Step 5: Solve for x
    x = 88,194,744,576/136,227
  6. Step 6: Final answer
    x = 647,410.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.