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Finding the Third Proportional to 177,746 and 282,676

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Solution

The third proportional to 177,746 and 282,676 is: 449,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,746 : 282,676 = 282,676 : x
  2. Step 2: Convert to fraction form
    177,746/282,676 = 282,676/x
  3. Step 3: Cross multiply
    177,746x = 282,676 × 282,676
  4. Step 4: Simplify right side
    177,746x = 79,905,720,976
  5. Step 5: Solve for x
    x = 79,905,720,976/177,746
  6. Step 6: Final answer
    x = 449,550.04

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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.