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Finding the Third Proportional to 152,757 and 332,622

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Solution

The third proportional to 152,757 and 332,622 is: 724,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,757 : 332,622 = 332,622 : x
  2. Step 2: Convert to fraction form
    152,757/332,622 = 332,622/x
  3. Step 3: Cross multiply
    152,757x = 332,622 × 332,622
  4. Step 4: Simplify right side
    152,757x = 110,637,394,884
  5. Step 5: Solve for x
    x = 110,637,394,884/152,757
  6. Step 6: Final answer
    x = 724,270.54

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Why These Related Problems?

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