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Finding the Third Proportional to 80,583 and 174,450

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Solution

The third proportional to 80,583 and 174,450 is: 377,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583 : 174,450 = 174,450 : x
  2. Step 2: Convert to fraction form
    80,583/174,450 = 174,450/x
  3. Step 3: Cross multiply
    80,583x = 174,450 × 174,450
  4. Step 4: Simplify right side
    80,583x = 30,432,802,500
  5. Step 5: Solve for x
    x = 30,432,802,500/80,583
  6. Step 6: Final answer
    x = 377,657.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.