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Finding the Third Proportional to 170,892.75 and 368,081.25

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Solution

The third proportional to 170,892.75 and 368,081.25 is: 792,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,892.75 : 368,081.25 = 368,081.25 : x
  2. Step 2: Convert to fraction form
    170,892.75/368,081.25 = 368,081.25/x
  3. Step 3: Cross multiply
    170,892.75x = 368,081.25 × 368,081.25
  4. Step 4: Simplify right side
    170,892.75x = 135,483,806,601.56
  5. Step 5: Solve for x
    x = 135,483,806,601.56/170,892.75
  6. Step 6: Final answer
    x = 792,800.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.