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Finding the Third Proportional to 150,686 and 334,414

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Solution

The third proportional to 150,686 and 334,414 is: 742,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,686 : 334,414 = 334,414 : x
  2. Step 2: Convert to fraction form
    150,686/334,414 = 334,414/x
  3. Step 3: Cross multiply
    150,686x = 334,414 × 334,414
  4. Step 4: Simplify right side
    150,686x = 111,832,723,396
  5. Step 5: Solve for x
    x = 111,832,723,396/150,686
  6. Step 6: Final answer
    x = 742,157.36

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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.