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Finding the Third Proportional to 143,728 and 296,676

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Solution

The third proportional to 143,728 and 296,676 is: 612,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,728 : 296,676 = 296,676 : x
  2. Step 2: Convert to fraction form
    143,728/296,676 = 296,676/x
  3. Step 3: Cross multiply
    143,728x = 296,676 × 296,676
  4. Step 4: Simplify right side
    143,728x = 88,016,648,976
  5. Step 5: Solve for x
    x = 88,016,648,976/143,728
  6. Step 6: Final answer
    x = 612,383.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.