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Finding the Third Proportional to 150,409 and 334,439

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Solution

The third proportional to 150,409 and 334,439 is: 743,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409 : 334,439 = 334,439 : x
  2. Step 2: Convert to fraction form
    150,409/334,439 = 334,439/x
  3. Step 3: Cross multiply
    150,409x = 334,439 × 334,439
  4. Step 4: Simplify right side
    150,409x = 111,849,444,721
  5. Step 5: Solve for x
    x = 111,849,444,721/150,409
  6. Step 6: Final answer
    x = 743,635.32

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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.