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Finding the Third Proportional to 77,242 and 180,450

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Solution

The third proportional to 77,242 and 180,450 is: 421,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242 : 180,450 = 180,450 : x
  2. Step 2: Convert to fraction form
    77,242/180,450 = 180,450/x
  3. Step 3: Cross multiply
    77,242x = 180,450 × 180,450
  4. Step 4: Simplify right side
    77,242x = 32,562,202,500
  5. Step 5: Solve for x
    x = 32,562,202,500/77,242
  6. Step 6: Final answer
    x = 421,560.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.