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Finding the Third Proportional to 177,736 and 282,660

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Solution

The third proportional to 177,736 and 282,660 is: 449,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,736 : 282,660 = 282,660 : x
  2. Step 2: Convert to fraction form
    177,736/282,660 = 282,660/x
  3. Step 3: Cross multiply
    177,736x = 282,660 × 282,660
  4. Step 4: Simplify right side
    177,736x = 79,896,675,600
  5. Step 5: Solve for x
    x = 79,896,675,600/177,736
  6. Step 6: Final answer
    x = 449,524.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.