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Finding the Third Proportional to 150,410 and 334,441

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Solution

The third proportional to 150,410 and 334,441 is: 743,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,410 : 334,441 = 334,441 : x
  2. Step 2: Convert to fraction form
    150,410/334,441 = 334,441/x
  3. Step 3: Cross multiply
    150,410x = 334,441 × 334,441
  4. Step 4: Simplify right side
    150,410x = 111,850,782,481
  5. Step 5: Solve for x
    x = 111,850,782,481/150,410
  6. Step 6: Final answer
    x = 743,639.27

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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.