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Finding the Third Proportional to 163,379 and 354,622

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Solution

The third proportional to 163,379 and 354,622 is: 769,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,379 : 354,622 = 354,622 : x
  2. Step 2: Convert to fraction form
    163,379/354,622 = 354,622/x
  3. Step 3: Cross multiply
    163,379x = 354,622 × 354,622
  4. Step 4: Simplify right side
    163,379x = 125,756,762,884
  5. Step 5: Solve for x
    x = 125,756,762,884/163,379
  6. Step 6: Final answer
    x = 769,724.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.