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Finding the Third Proportional to 84,674 and 177,880

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Solution

The third proportional to 84,674 and 177,880 is: 373,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 177,880 = 177,880 : x
  2. Step 2: Convert to fraction form
    84,674/177,880 = 177,880/x
  3. Step 3: Cross multiply
    84,674x = 177,880 × 177,880
  4. Step 4: Simplify right side
    84,674x = 31,641,294,400
  5. Step 5: Solve for x
    x = 31,641,294,400/84,674
  6. Step 6: Final answer
    x = 373,683.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.