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Finding the Third Proportional to 80,232 and 168,744

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Solution

The third proportional to 80,232 and 168,744 is: 354,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232 : 168,744 = 168,744 : x
  2. Step 2: Convert to fraction form
    80,232/168,744 = 168,744/x
  3. Step 3: Cross multiply
    80,232x = 168,744 × 168,744
  4. Step 4: Simplify right side
    80,232x = 28,474,537,536
  5. Step 5: Solve for x
    x = 28,474,537,536/80,232
  6. Step 6: Final answer
    x = 354,902.50

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Why These Related Problems?

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