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Finding the Third Proportional to 177,796 and 275,116

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Solution

The third proportional to 177,796 and 275,116 is: 425,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796 : 275,116 = 275,116 : x
  2. Step 2: Convert to fraction form
    177,796/275,116 = 275,116/x
  3. Step 3: Cross multiply
    177,796x = 275,116 × 275,116
  4. Step 4: Simplify right side
    177,796x = 75,688,813,456
  5. Step 5: Solve for x
    x = 75,688,813,456/177,796
  6. Step 6: Final answer
    x = 425,705.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.