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Finding the Third Proportional to 80,304 and 174,912

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Solution

The third proportional to 80,304 and 174,912 is: 380,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304 : 174,912 = 174,912 : x
  2. Step 2: Convert to fraction form
    80,304/174,912 = 174,912/x
  3. Step 3: Cross multiply
    80,304x = 174,912 × 174,912
  4. Step 4: Simplify right side
    80,304x = 30,594,207,744
  5. Step 5: Solve for x
    x = 30,594,207,744/80,304
  6. Step 6: Final answer
    x = 380,979.87

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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.