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Finding the Third Proportional to 163,919 and 360,355

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Solution

The third proportional to 163,919 and 360,355 is: 792,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,919 : 360,355 = 360,355 : x
  2. Step 2: Convert to fraction form
    163,919/360,355 = 360,355/x
  3. Step 3: Cross multiply
    163,919x = 360,355 × 360,355
  4. Step 4: Simplify right side
    163,919x = 129,855,726,025
  5. Step 5: Solve for x
    x = 129,855,726,025/163,919
  6. Step 6: Final answer
    x = 792,194.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.