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Finding the Third Proportional to 140,664 and 332,052

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Solution

The third proportional to 140,664 and 332,052 is: 783,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,664 : 332,052 = 332,052 : x
  2. Step 2: Convert to fraction form
    140,664/332,052 = 332,052/x
  3. Step 3: Cross multiply
    140,664x = 332,052 × 332,052
  4. Step 4: Simplify right side
    140,664x = 110,258,530,704
  5. Step 5: Solve for x
    x = 110,258,530,704/140,664
  6. Step 6: Final answer
    x = 783,843.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.