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Finding the Third Proportional to 80,190 and 175,418

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Solution

The third proportional to 80,190 and 175,418 is: 383,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,190 : 175,418 = 175,418 : x
  2. Step 2: Convert to fraction form
    80,190/175,418 = 175,418/x
  3. Step 3: Cross multiply
    80,190x = 175,418 × 175,418
  4. Step 4: Simplify right side
    80,190x = 30,771,474,724
  5. Step 5: Solve for x
    x = 30,771,474,724/80,190
  6. Step 6: Final answer
    x = 383,732.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.