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Finding the Third Proportional to 164,439 and 354,474

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Solution

The third proportional to 164,439 and 354,474 is: 764,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,439 : 354,474 = 354,474 : x
  2. Step 2: Convert to fraction form
    164,439/354,474 = 354,474/x
  3. Step 3: Cross multiply
    164,439x = 354,474 × 354,474
  4. Step 4: Simplify right side
    164,439x = 125,651,816,676
  5. Step 5: Solve for x
    x = 125,651,816,676/164,439
  6. Step 6: Final answer
    x = 764,124.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.