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Finding the Third Proportional to 80,190 and 173,988

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Solution

The third proportional to 80,190 and 173,988 is: 377,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,190 : 173,988 = 173,988 : x
  2. Step 2: Convert to fraction form
    80,190/173,988 = 173,988/x
  3. Step 3: Cross multiply
    80,190x = 173,988 × 173,988
  4. Step 4: Simplify right side
    80,190x = 30,271,824,144
  5. Step 5: Solve for x
    x = 30,271,824,144/80,190
  6. Step 6: Final answer
    x = 377,501.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.