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Finding the Third Proportional to 150,477.75 and 334,170.56

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Solution

The third proportional to 150,477.75 and 334,170.56 is: 742,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,477.75 : 334,170.56 = 334,170.56 : x
  2. Step 2: Convert to fraction form
    150,477.75/334,170.56 = 334,170.56/x
  3. Step 3: Cross multiply
    150,477.75x = 334,170.56 × 334,170.56
  4. Step 4: Simplify right side
    150,477.75x = 111,669,964,841.57
  5. Step 5: Solve for x
    x = 111,669,964,841.57/150,477.75
  6. Step 6: Final answer
    x = 742,102.83

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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.