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Finding the Third Proportional to 163,881.75 and 360,285.25

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Solution

The third proportional to 163,881.75 and 360,285.25 is: 792,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,881.75 : 360,285.25 = 360,285.25 : x
  2. Step 2: Convert to fraction form
    163,881.75/360,285.25 = 360,285.25/x
  3. Step 3: Cross multiply
    163,881.75x = 360,285.25 × 360,285.25
  4. Step 4: Simplify right side
    163,881.75x = 129,805,461,367.56
  5. Step 5: Solve for x
    x = 129,805,461,367.56/163,881.75
  6. Step 6: Final answer
    x = 792,067.83

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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.