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Finding the Third Proportional to 189,418.50 and 414,450

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Solution

The third proportional to 189,418.50 and 414,450 is: 906,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.50 : 414,450 = 414,450 : x
  2. Step 2: Convert to fraction form
    189,418.50/414,450 = 414,450/x
  3. Step 3: Cross multiply
    189,418.50x = 414,450 × 414,450
  4. Step 4: Simplify right side
    189,418.50x = 171,768,802,500
  5. Step 5: Solve for x
    x = 171,768,802,500/189,418.50
  6. Step 6: Final answer
    x = 906,821.68

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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.