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Finding the Third Proportional to 150,395.50 and 334,414.75

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Solution

The third proportional to 150,395.50 and 334,414.75 is: 743,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,395.50 : 334,414.75 = 334,414.75 : x
  2. Step 2: Convert to fraction form
    150,395.50/334,414.75 = 334,414.75/x
  3. Step 3: Cross multiply
    150,395.50x = 334,414.75 × 334,414.75
  4. Step 4: Simplify right side
    150,395.50x = 111,833,225,017.56
  5. Step 5: Solve for x
    x = 111,833,225,017.56/150,395.50
  6. Step 6: Final answer
    x = 743,594.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.