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Finding the Third Proportional to 163,917 and 360,351

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Solution

The third proportional to 163,917 and 360,351 is: 792,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,917 : 360,351 = 360,351 : x
  2. Step 2: Convert to fraction form
    163,917/360,351 = 360,351/x
  3. Step 3: Cross multiply
    163,917x = 360,351 × 360,351
  4. Step 4: Simplify right side
    163,917x = 129,852,843,201
  5. Step 5: Solve for x
    x = 129,852,843,201/163,917
  6. Step 6: Final answer
    x = 792,186.55

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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.